PSLE
Brandon and Daniel have the same total number of coins. Brandon has a number of fifty-cent coins and 32 five-cent coins. The total mass of his coins is 0.61 kg. Daniel has a number of fifty-cent coins and 52 five-cent coins.

1. Who has less money in coins? How much less? Give your answers in this format. (Eg Adam, $12)
2. Each fifty-cent coin is 3.8 g heavier than each five-cent coin. What is the total mass of Daniel's coins in kg?

(a)
Both boys have the same number of coins. Since Daniel has more five-cent coins than Brandon, it means that Daniel has less fifty-cent coins than Brandon.  So Daniel has less money.

Difference in the number of five-cent coins.
= 52 - 32
= 20

Difference in the value of 1 five-cent coin and 1 fifty-cent coin
= 50 - 5
= 45¢

Amount that Daniel had less than Brandon
= 20 x 45
= 900¢
= $9

(b)
Difference in the mass between 20 five-cent coins and 20 fifty-cent coins
= 20 x 3.8
= 76 g
= 0.076 kg

Total mass of Daniel's coins
= 0.61 - 0.076
= 0.534 kg

Answer(s): (a) Brandon, $9; (b) 0.534 kg