PSLE Gabriel and Daniel have the same total number of coins. Gabriel has a number of fifty-cent coins and 64 ten-cent coins. The total mass of his coins is 1.177 kg. Daniel has a number of fifty-cent coins and 104 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 Daniel's coins in kg?
(a)
Since Gabriel has less ten-cent coins than Daniel but both had the same number of coins, Gabriel had more money.
Both boys have the same number of coins. Since Gabriel has less ten-cent coins than Daniel, it means that Gabriel has more fifty-cent coins than Daniel. So Gabriel has more money.
Difference in the number of ten-cent coins.
= 104 - 64
= 40
Difference in the value of 1 ten-cent coin and 1 fifty-cent coin
= 50 - 10
= 40¢
Amount that Gabriel had more than Daniel
= 40 x 40
= 1600¢
= $16
(b)
Difference in the mass between 40 ten-cent coins and 40 fifty-cent coins
= 40 x 3.2
= 128 g
= 0.128 kg
Total mass of Daniel's coins
= 1.177 - 0.128
= 1.049 kg
Answer(s): (a) Gabriel, $16; (b) 1.049 kg