A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 6 small boxes has a t

Question

3 years ago

7

otal weight of 187 kilograms. A d of 3 large boxes and 2 small boxes has a total weight of 87. How much does each type of box weigh? Pls help

1 answer:

Mekhanik [1.2K] · Answer 1 · 2022-01-29T23:55:50+03:00

Answer:

Large Box = 18.5

Small Box = 15.75

Step-by-step explanation:

Let x = large box and y = small box

5x+6y=187

3x+2y=87

cancel out one equation

(5x+6y=187)•3=15x+18y=561

(3x+2y=87)•-5=15x+10y=435

15x+18y=561

-15x-10y=-435

–––––––––––

0+ 8y= 126

8y÷8 =126÷8

y=15.75

Substitute y into either original equation

3x+2(15.75)=87

3x+ 31.5=87

3x+ 31.5-31.5=87-31.5

3x=55.5

3x÷3=55.5÷3

x=18.5