SOLUTION: A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 3 large boxes and 8 small boxes has a total weight of 91 kilograr delivery of 5 large boxe

Question 1189814: A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 3 large boxes and 8 small boxes has a total weight of 91 kilograr
delivery of 5 large boxes and 2 small boxes has a total weight of 78 kilograms. How much does each type of box weigh?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A fruit company delivers its fruit in two types of boxes: large and small.
A delivery of 3 large boxes and 8 small boxes has a total weight of 91 kilograms
delivery of 5 large boxes and 2 small boxes has a total weight of 78 kilograms.
How much does each type of box weigh?
:
let a = weight of the large box
let b = weight of the small
:
"A delivery of 3 large boxes and 8 small boxes has a total weight of 91 kg"
3a + 8b = 91
"delivery of 5 large boxes and 2 small boxes has a total weight of 78 kg."
5a + 2b = 78
:
How much does each type of box weigh?
multiply the above equation by 4, subtract the first equation
20a + 8b = 312
3a + 8b = 91
----------------subtraction eliminates b, find a
17a + 0 = 221
a = 221/17
a = 13 kg each large box
:
use the 2nd equation to find b
5(13) + 2b = 78
65 + 2b = 78
2b = 78 - 65
2b = 13
b = 13/2
b = 6.5 kg each small box
:
:
Check solutions in the 1st equation
3(13) + 8(6.5) =
39 + 52 = 91

RELATED QUESTIONS
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of (answered by josmiceli)

Problem Page A fruit company delivers its fruit in two types of boxes: large and small.... (answered by josgarithmetic)

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of... (answered by ikleyn)

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of... (answered by harpazo)

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of (answered by solver91311)

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of... (answered by josmiceli)

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of (answered by Shin123,josgarithmetic)

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of (answered by ikleyn,josgarithmetic)

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of... (answered by greenestamps)