Help me please! Mother need help with MATH homework?

Question

The question is.
Tina needs batteries. AA batteries cost $3.00 per pack. D batteries cost $4.00 per pack. If she has $26 to spend and buys 3 times as many packs of AA batteries as D batteries, how many packs of each does she buy?
I said 6 and 2 but I don't know how to explain how I got the answer to my child. I just keep breaking it down. They have to be an easier way to example step by step to her. Thanks for everybodies help.

Answer 1

Tina needs batteries. AA batteries cost $3.00 per pack. D batteries cost $4.00 per pack. If she has $26 to spend and buys 3 times as many packs of AA batteries as D batteries, how many packs of each does she buy?

This is an alebreic problem which will be represented by

3X + 4Y = 26

However, to solve an alebreic equation you need to have an equal number of equations for each variable, thus you have another equation dictating the number of AA batterys in comparison of D batterys.

Y=(1/3)X

Plug it in to the original

3X+(4/3)X=26

Add

(13/3)X=26

Simplify by multiplying by (3/13)

X=(26/13)x3

Simplify

X=6

Solve for Y by plugging into the original

3*6+4*Y=26
18+4Y=26

Simplify (subtract both sides by 18)

4Y=8

Simplify (divide by 4)

Y=2 and X=6

Answer 2

Let's call x the number of D batteries and then 3x is the number of AA batteries.

So we know that x + 3x = total packs bought......but since we're dealing with cost, you have to put that in there, as well.

x(4.00 per pack) + 3x(3.00 per pack) = 26 total

4x +9x = 26
13x=26

So x = 2.....that is how many packs of D batteries....multiply by 3 to find out the AA batteries and you get 6 packs of them.

Answer 3

1 step: you have got 3 AAs ($9.00) and 1 D ($4.00), the sum is $13.00. You have $26.00, after 1 step you have $13.00. That's why you need to make 1 step once again and you will get 6 AAs and 2 Ds (3:1).

Answer 4

if AA pack = x
D pack = y

to solve it, u need two equations
first from the fact that number of batteries are 3 times AA of D

so, x=3y ------------------------------ (1)

next equation from the price of the packs
3 dollars times x packs, plus 4 dollars times y packs must equal 26 dollars

3x + 4y = 26 ------------------------ (2)

replace equation (1) in (2) to get: 3(3y) + 4y = 26
9y + 4y = 26
13y = 26
y = 26/13
y = 2

substitute in equation 1:
x=3y
x=3(2)
x= 6
15x = 26
x = 26/15

Answer 5

A are $3
D are $4

$3A + $4D = $26, where 3D = A
$3(3D) + $4D = $26
$13D = $26
D = 2

From the first equation. 3D = A, or A = 6

2 packs D, 6 packs AA

Answer 6

Just read your previous answer about "Spare the Rod."
Check this out:
HITTING IS ACTUALLY NOT BIBLICAL
Don't use the Bible as an excuse to spank. There is confusion in the ranks of people of Judeo-Christian heritage who, seeking help from the Bible in their effort to raise godly children, believe that God commands them to spank. They take "spare the rod and spoil the child" seriously and fear that if they don't spank, they will commit the sin of losing control of their child. In our counseling experience, we find that these people are devoted parents who love God and love their children, but they misunderstand the concept of the rod.
Rod verses - what they really mean. The following are the biblical verseswhich have caused the greatest confusion:

"Folly is bound up in the heart of a child, but the rod of discipline will drive it far from him." (Prov. 22:15)

"He who spares the rod hates his son, but he who loves him is careful to discipline him." (Prov. 13:24)

"Do not withhold discipline from a child; if you punish him with the rod, he will not die. Punish him with the rod and save his soul from death." (Prov. 23:13-14)

"The rod of correction imparts wisdom, but a child left to itself disgraces his mother." (Prov. 29:15)

At first glance these verses may sound pro-spanking. But you might consider a different interpretation of these teachings. "Rod" (shebet) means different things in different parts of the Bible. The Hebrew dictionary gives this word various meanings: a stick (for punishment, writing, fighting, ruling, walking, etc.). While the rod could be used for hitting, it was more frequently used for guiding wandering sheep. Shepherds didn't use the rod to beat their sheep - and children are certainly more valuable than sheep. As shepherd-author Philip Keller teaches so well in A Shepherd Looks At Psalm 23, the shepherd's rod was used to fight off prey and the staff was used to gently guide sheep along the right path. ("Your rod and your staff, they comfort me." – Psalm 23:4).

Jewish families we've interviewed, who carefully follow dietary and lifestyle guidelines in the Scripture, do not practice "rod correction" with their children because they do not follow that interpretation of the text.

The book of Proverbs is one of poetry. It is logical that the writer would have used a well-known tool to form an image of authority. We believe that this is the point that God makes about the rod in the Bible – parents take charge of your children. When you re-read the "rod verses," use the concept of parental authority when you come to the word "rod," ratherthan the concept of beating or spanking. It rings true in every instance.

While Christians and Jews believe that the Old Testament is the inspired word of God, it is also a historical text that has been interpreted in many ways over the centuries, sometimes incorrectly in order to support the beliefs of the times. These "rod" verses have been burdened with interpretations about corporal punishment that support human ideas. Other parts of the Bible, especially the New Testament, suggest that respect, authority, and tenderness should be the prevailing attitudes toward children among people of faith.

In the New Testament, Christ modified the traditional eye-for-an-eye system of justice with His turn-the-other-cheek approach. Christ preached gentleness, love, and understanding, and seemed against any harsh use of the rod, as stated by Paul in 1 Cor. 4:21: "Shall I come to you with the whip (rod), or in love and with a gentle spirit?" Paul went on to teach fathers about the importance of not provoking anger in their children (which is what spanking usually does): "Fathers, do not exasperate your children" (Eph. 6:4), and "Fathers, do not embitter your children, or they will be discouraged" (Col. 3:21).

In our opinion, nowhere in the Bible does it say you must spank your child to be a godly parent.

SPARE THE ROD!There are parents who should not spank and children who should not be spanked.

Answer 7

yeah that's right 6 AAs & 2 Ds because 6x$3.00=$18.00 and 2x$4.00=$8.00 and $18.00+$8.00=$26.00

Answer 8

Just make the formula.

AAx + Dy = 26


then plug in numbers

maybe even a table for he hard ones

just try ones near it till one works

2,3

4,3

5,2

2,6

1,7