PSLE
Ryan and Will have the same total number of coins. Ryan has a number of twenty-cent coins and 58 five-cent coins. The total mass of his coins is 0.569 kg. Will has a number of twenty-cent coins and 98 five-cent coins.

1. Who has more money in coins? How much more? Give your answers in this format. (Eg Adam, $12)
2. Each twenty-cent coin is 2.2 g heavier than each five-cent coin. What is the total mass of Will's coins in kg?

(a)
Since Ryan has less five-cent coins than Will but both had the same number of coins, Ryan had more money.

Both boys have the same number of coins. Since Ryan has less five-cent coins than Will, it means that Ryan has more twenty-cent coins than Will. So Ryan has more money.

Difference in the number of five-cent coins.
= 98 - 58
= 40

Difference in the value of 1 five-cent coin and 1 twenty-cent coin
= 20 - 5
= 15¢

Amount that Ryan had more than Will
= 40 x 15
= 600¢
= $6

(b)
Difference in the mass between 40 five-cent coins and 40 twenty-cent coins
= 40 x 2.2
= 88 g
= 0.088 kg

Total mass of Will's coins
= 0.569 - 0.088
= 0.481 kg

Answer(s): (a) Ryan, $6; (b) 0.481 kg