PSLE Perry and Harry have the same total number of coins. Perry has a number of fifty-cent coins and 36 ten-cent coins. The total mass of his coins is 0.633 kg. Harry has a number of fifty-cent coins and 86 ten-cent coins.
- Who has more money in coins? How much more? Give your answers in this format. (Eg Adam, $12)
- Each fifty-cent coin is 3.2 g heavier than each ten-cent coin. What is the total mass of Harry's coins in kg?
(a)
Since Perry has less ten-cent coins than Harry but both had the same number of coins, Perry had more money.
Both boys have the same number of coins. Since Perry has less ten-cent coins than Harry, it means that Perry has more fifty-cent coins than Harry. So Perry has more money.
Difference in the number of ten-cent coins.
= 86 - 36
= 50
Difference in the value of 1 ten-cent coin and 1 fifty-cent coin
= 50 - 10
= 40¢
Amount that Perry had more than Harry
= 50 x 40
= 2000¢
= $20
(b)
Difference in the mass between 50 ten-cent coins and 50 fifty-cent coins
= 50 x 3.2
= 160 g
= 0.16 kg
Total mass of Harry's coins
= 0.633 - 0.16
= 0.473 kg
Answer(s): (a) Perry, $20; (b) 0.473 kg