Question

Mervin has some cartons of milk. He sold 2/5 of milk in the morning. He sold 3/4 of the remainder in the afternoon. 24 more cartons of milk were sold In The afternoon than in the morning. How many cartons of milk did Mervin have at first

Answer 1

2/5 were sold in the morning. This is equal to 40% of the total. That leaves 60% leftover.

3/4 were sold in the afternoon. This is equal to 75% of the 60% leftover or 45% of the total (.6x.75).

The difference between the two sales is 24 cartons or 5% (45%-40%). If 5% is equal to 24 then you can cross multiply to see what is the equivalent number of cartons out of 100%.

5/100 = 24/x

5x = 24(100)

5x = 2400

x = 480

ANSWER: 480 cartons