Help with Son's homework. My wife thinks this question is wrong and cannot be solved.?

Question

Divide $6.00 among 3 students so that when Amy gets 3 cents, Bono gets 5 cents, and Teri gets 7 cents. How much does each receive?

Answer 1

If you add what all the students get together, it totals 15 cents (5+3+7).
Since there is 40 times 15 cents in $6, then each student will get the "when one gets this much then the other gets this much" 40 times over.

So, in the end, Amy will get 40 times 3 cents (total $1.20) Bono will get 40 times 5 cents (or $2.00) and Teri gets 40 times 7 cents, or $2.80.

$2.80 + $2.00 + $1.20 = $6.00

Answer 2

What I did to solve this system was simply an equation in one variable. The amounts that each person get are in cents, so I converted the $6 into 600 cents. When the entire amount each person receives is added up, it will equal 600 cents, so we have the second half of the equation. Since there is only one variable involved - money - we can say that each person will get x portion of the money. Now, Amy gets 3 cents for every 5 cents Bono gets for every 7 cents Teri gets, so we have an equation in one variable. The ratio is 3:5:7 and it must equal 600 cents when all is said and done so we have the following equation:

3x+5x+7x=600

When we simplify the equation we get:

15x=600

Solving the equation for x:

x=600/15
x=40

So, we can check to see what each person receives by isolating each part:

Amy - 3x

3x=?
3(40cents)= 120cents
Converting to dollars : $1.20

Bono - 5x

5x=?
5(40cents)=200cents
Converting to dollars : $2.00

Teri - 7x

7x=?
7(40cents)=280cents
Converting to dollars : $2.80

Now, adding each person's amount up we should get $6:

Amy+Bono+Teri = 1.20+2.00+2.80
=6.00

So, our answer checks out!

Hope this helps!

Answer 3

You can also use proportional parts by sharing in the ratio 3:5:7

Total Parts = 3 + 5 + 7 = 15

Amy gets 3/15 x $6 = $1.20

Bono gets 5/15 x $6 = $2

Teri gets 7/15 x $6 = $2.80

Answer 4

Add the three amounts: 3+5+7 = 15. Then divide 600 ($6 in cents) by 15; this is 40

So each person gets their amounts X 40

Amy gets $1.20 for example.

Answer 5

3x + 5x + 7x = 600, 15x = 600 cents

x = 40.

Amy gets 40 * 3 =120 cents
Bono gets 40 * 5 = 200 cents
Teri gets 40 * 7 = 280 cents

Answer 6

the ratio is 3:5:7 = 100% or $6.00
In this case I added the three numbers -- 3+5+7=15
divide 6.00 by 15 --> answer .40
multiply as below and it adds up to 6.00


Amy $1.20 3 * .40
Bono $2.00 5 * .40
Teri $2.80 7 * .40

Answer 7

3x + 5x + 7x = 600
15x = 600
x = 40
3x = 120 cents goes to Amy
5x = 200 cents goes to Bono.
7x = 280 cents goes to Teri
Total is 600 cents = $6.00

Answer 8

Amy gets $1.20.
Bono gets $2.00.
Teri gets $2.80.

Answer 9

3X + 5X + 7X = 600
15X =600
X=40

amy gets $1.20cents, bono gets $2.00 and Teri gets $2.80

Answer 10

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