Assume all are children:

7u x 0.5 = 3.5u

8u – 3.5u = 4.5u

2 – 0.50 = 1.50

4.5u/1.5 = 3u(adults)

Assume all are adults

7u x 2 = 14u

14u – 8u = 6u

2 – 0.50 = 1.50

6u/1.50 = 4u (children)

7u – 4u = 3u (adults)

As 7u is the total number of people,

the fraction of people that were adults = 3/7

-----------------------------------------

a = # of apples

494 - a = # of mangoes

(4/7)a = (3/4)(494 - a) + 240 ← 4/7 of # of apples was 240 more than 3/4 # of mangoes

16a = 21(494 - a) + 6720 ← multiplied by 28

16a = 10374 - 21a + 6720 ← distributed

16a = 17094 - 21a ← combined

37a = 17094 ← added 21a

a = 462 ← divided

*McGenius*

**
**