You bought 12 1-gallon bottles of apple and orange juice for a school dance. The apple juice was on sale for $1.00 per gallon bottle. The orange juice was $1.50 per 1 gallon bottle. You spent $15.00. Write an algebraic model. how many of bottles of each type of juice did you buy?
2006-09-13 19:25:09 · 10 answers · asked by booo 1 in Science & Mathematics ➔ Mathematics
6 bottels of orange and 6 bottels of apple
2006-09-13 19:30:25 · answer #1 · answered by Mohit J 1 · 0⤊ 0⤋
Let x = bottles of orange juice and y = bottles of apple juice. Then
x + y = 12 and
1.5*x + y = 15
Solving x = 6 and y = 6 so you bought 6 bottles of each
Doug
2006-09-13 19:30:59 · answer #2 · answered by doug_donaghue 7 · 1⤊ 0⤋
each you have to buy 6 bottles
the equotions :
12 = Apple + Orange
so Apple = 12 - Orange
(Apple*1) + (Orange*1.5) = 15
(=) Apple + 1.5 Orange = 15
(=) 2 Apple + 3 Orange = 30
(=) 2 (12-Orange) + 3 Orange = 30
(=) 24 - 2 Orange + 3 Orange = 30
(=) 24 + Orange = 30
So Orange = 6
Apple = 12 - Orange
= 12 - 6
= 6
2006-09-13 19:42:54 · answer #3 · answered by ooowen 3 · 0⤊ 0⤋
properly that's notably concern-unfastened, so possibly you % some help with the basics. once you have 2 expressions, one on the left area of an "=" and one on the remarkable, you're unfastened to do an identical operation of the two sides of the "=" sign. this implies you may upload, subtract, multiply, and so on an identical fee of the two sides of the "=", and the equality keeps to be actual. on your particular concern, the ingredient is to get to "n=" some thing at which ingredient you will possibly have solved for n so... beginning from n/5 = 8 you may multiply the two sides by utilising 5 (n/5) x 5 = 8 x 5 on the left area, the two fives cancel one yet another out, on the remarkable area 8x 5 = 40 so which you wind up with n = 40 and you're executed. As you get into this somewhat farther, you will get extra complicated issues that require better than one step. case in point in case you were supplied with 3a + 4 = 22 then you relatively could desire to subract 3 from the two sides: 3a + 4 - 4 = 22 - 4 or 3a = 18 Then divide the two sides by utilising 3 to get 3a/3 = 18 /3 the three's on the left cancel, and 18/3 = 6 leaving you with a = 6
2016-11-07 07:11:49 · answer #4 · answered by ? 4 · 0⤊ 0⤋
How useless is mathematics. In real life I would just buy apple juice as it is on sale and it is 33.3% cheaper than orange. So therefore I would just buy 15 bottles of apple juice.
2006-09-13 20:03:06 · answer #5 · answered by Anonymous · 0⤊ 0⤋
x + y = 12
x + 1.5y = 15
x + y = 12
x = -y + 12
(-y + 12) + 1.5y = 15
-y + 12 + 1.5y = 15
.5y + 12 = 15
.5y = 3
6
x = -6 + 12
x = 6
6 gallons of apple juice
6 gallons of orange juice
2006-09-13 19:50:48 · answer #6 · answered by Sherman81 6 · 0⤊ 0⤋
1(A) + 1.5(B)=15
Therefore 6 bottles of apple juice and 6 bottles of orgne juice
2006-09-13 19:36:05 · answer #7 · answered by Jonathan C 1 · 0⤊ 0⤋
6/5-15*2
2006-09-13 19:35:30 · answer #8 · answered by Double Bubble 2 · 0⤊ 0⤋
Let a equal $1.00
6(a) + 6(b) = $15.00
$6 + 6(b) =$15.00
-$6 -6.00
0 + 6(b) = $9.00
b=1.50 (6a=$6.00 and 6b=$9.00)
a=$1.00 ($6.00 + $9.00=$15.00)
2006-09-13 19:59:25 · answer #9 · answered by beverly p 3 · 0⤊ 0⤋
X=apples
Y=Oranges
X+Y=12
1X+1.5Y=15
Solve it.
PS: subtract two equations from each other
2006-09-13 19:36:05 · answer #10 · answered by P J 2 · 0⤊ 0⤋