Question

A truck carries a load of 50 boxes;some are 20kg boxes and the rest are 25kg boxes. if the total weight of all boxes is 1175 kg, how many of each type are there?​

Answer 1

given:

total number of boxes= 50

weight of all the boxes= 1175

some boxes= 25kg

and the rest= 20kg

to find:

how many of each type are there.

solution:

Let the number of the 20kg boxes = x

and the number of the 25kg boxes = (50-x)

so,

20×(x) + 25×(50-x)

= 1175

20x + 1250 - 25x

= 1175

- 5x = - 75 => x = (-75)/(-5)

= 15

(50–15)

= 35

therefore, 20 kg boxes are 15 and 25 kg boxes are 35.