PSLE George and Warren have the same total number of coins. George has a number of fifty-cent coins and 58 twenty-cent coins. The total mass of his coins is 0.307 kg. Warren has a number of fifty-cent coins and 78 twenty-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 1.8 g heavier than each twenty-cent coin. What is the total mass of Warren's coins in kg?
(a)
Since George has less twenty-cent coins than Warren but both had the same number of coins, George had more money.
Both boys have the same number of coins. Since George has less twenty-cent coins than Warren, it means that George has more fifty-cent coins than Warren. So George has more money.
Difference in the number of twenty-cent coins.
= 78 - 58
= 20
Difference in the value of 1 twenty-cent coin and 1 fifty-cent coin
= 50 - 20
= 30¢
Amount that George had more than Warren
= 20 x 30
= 600¢
= $6
(b)
Difference in the mass between 20 twenty-cent coins and 20 fifty-cent coins
= 20 x 1.8
= 36 g
= 0.036 kg
Total mass of Warren's coins
= 0.307 - 0.036
= 0.271 kg
Answer(s): (a) George, $6; (b) 0.271 kg