Question

Milk is sold in one litre and two litre cartons. A delicatessen owner orders 120 litres of milk and receives 97 cartons. How many of each type did she receive?

Answer 1

Explanation:

Let's assume that the owner received x 1L and y 2L cartons.

As given, the total amount of milk received is 120L,

=> 1x+2y=120 ---(equation 1)

we also know that the total no. of cartons received is 97,

=>x+y=97--(equation 2)

on solving equations 1 and 2, we get:

x=97-y(from equation 2)

substituting the x value in equation 1,

=>1(97-y)+2y=120

=>97-y+2y=120

=>y=23

substituting the y value in equation 2 gives:

x=97-y=97-23=74

so, the delicatessen owner received 74 one-liter cartons and 23 two-liter cartons.