PSLE Michael and Archie have the same total number of coins. Michael has a number of fifty-cent coins and 63 ten-cent coins. The total mass of his coins is 0.864 kg. Archie has a number of fifty-cent coins and 113 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 1.4 g heavier than each ten-cent coin. What is the total mass of Archie's coins in kg?
(a)
Since Michael has less ten-cent coins than Archie but both had the same number of coins, Michael had more money.
Both boys have the same number of coins. Since Michael has less ten-cent coins than Archie, it means that Michael has more fifty-cent coins than Archie. So Michael has more money.
Difference in the number of ten-cent coins.
= 113 - 63
= 50
Difference in the value of 1 ten-cent coin and 1 fifty-cent coin
= 50 - 10
= 40¢
Amount that Michael had more than Archie
= 50 x 40
= 2000¢
= $20
(b)
Difference in the mass between 50 ten-cent coins and 50 fifty-cent coins
= 50 x 1.4
= 70 g
= 0.07 kg
Total mass of Archie's coins
= 0.864 - 0.07
= 0.794 kg
Answer(s): (a) Michael, $20; (b) 0.794 kg