PSLE
Mr Tang used ⁵₇ of his money to buy 4 mangoes and 8 passion fruits. The cost of 2 mangoes was the same as that of 3 passion fruits. What was the most number of passion fruits that Mr Tang could buy with the money he had left?
Fraction of his money that he had left
= 1 - ⁵₇ 
= ²₇

Let the cost of 1 mango be 1 M.
Let the cost of 1 passion fruit be 1 P.

2 M = 3 P _(x2)
4 M = 6 P

Since Mr Tang wants to buy passion fruits with the money he had left, 4 mangoes will be substituted as 6 passion fruits.

⁵₇ of his money
= 4 M + 8 P
= 6 P + 8 P
= 14 P

⁵₇ of his money → 14 P
¹₇ of his money → ¹⁴₅ P
²₇ of his money → 2 x ¹⁴₅ P = 5³₅ P

Maximum number of passion fruits he could buy with the money that he had left = 5

Answer(s): 5