152,454 views
19 votes
19 votes
The school tuck-shop has milk in 700mL and 1L cartons. If there are 60 cartons and 48L of milk in total, how many 700 mL cartons are there?​

User Anton Boritskiy
by
2.5k points

2 Answers

6 votes
6 votes

60 × 48 = 2880 L

2880 ÷ 700 = 4

User Jaehyeon Kim
by
2.6k points
13 votes
13 votes

Answer:

20 1 Liter Cartons

40 700 ml Cartons

Explanation:

Let A be the number of 700ml cartons.

Let B be the number of 1 L cartons

We are told that A + B = 60 cartons total

Rearrange to isolate A: A = 60 - B

700ml is 0.700L

Total volume of milk is 48L

Total volume (in liters) of the 700 ml cartons is from (0.70 L)A

Total volume from the 1L cartons is (1 L)B

Total = (0.70)A + 1B = 48 L

Now use the rearranged equation for A in the above espression:

(0.70)A + 1B = 48 L

(0.70)(60-B) + 1B = 48 L

42 - 0.70B + B = 48

0.30B = 6

B = 20

A is 60 - B or 40

=============

CHECK:

B: 20*(1 L) = 20 L

A: 40*(0.70 L) = 28 L

Total = 48 L YES

User Soob
by
2.5k points