PSLE
Zoe and Ahmad bought mangoes at the prices shown below.

2 Large mangoes for $14
5 Small mangoes for $12

1. Zoe bought an equal number of large and small mangoes. She spent $184 more on the large ones. How many mangoes did she buy altogether?
2. Ahmad spent an equal amount of money on the large and small mangoes. What fraction of the mangoes he bought were large?

(a)
Number of large and small mangoes that Zoe bought is the same. Make the number of large and small mangoes the same. LCM of 2 and 5 is 10.

Cost of 2 large mangoes = $14
Cost of 10 large mangoes = 5 x 14 = $70

Cost of 5 small mangoes = $12
Cost of 10 small mangoes = 2 x 12 = $24

Difference in the cost of buying 10 small mangoes and 10 large mangoes
= 70 - 24
= $46

Number of sets of mangoes
= 184 ÷ 46
= 4

Number of mangoes that Zoe bought
= 4 x 2 x 10
= 80

(b)
Ahmad spent an equal amount of money on the large and small mangoes.  Make the amount of money spent on the large and small mangoes the same.
LCM of 14 and 12 is 84.

Number of large mangoes that Ahmad bought
= 2 x (84 ÷ 14)
= 2 x 6
= 12

Number of the small mangoes that Ahmad bought
= 5 x (84 ÷ 12)
= 5 x 7
= 35

Fraction of the mangoes that Ahmad bought that were large
= ¹²_{12 + 35}
= ¹²₄₇

Answer(s): (a) 80; (b) ¹²₄₇