PSLE Dylan and Cody have the same total number of coins. Dylan has a number of ten-cent coins and 30 five-cent coins. The total mass of his coins is 0.822 kg. Cody has a number of ten-cent coins and 50 five-cent coins.
- Who has less money in coins? How much less? Give your answers in this format. (Eg Adam, $12)
- Each ten-cent coin is 1.7 g heavier than each five-cent coin. What is the total mass of Cody's coins in kg?
(a)
Both boys have the same number of coins. Since Cody has more five-cent coins than Dylan, it means that Cody has less ten-cent coins than Dylan. So Cody has less money.
Difference in the number of five-cent coins.
= 50 - 30
= 20
Difference in the value of 1 five-cent coin and 1 ten-cent coin
= 10 - 5
= 5¢
Amount that Cody had less than Dylan
= 20 x 5
= 100¢
= $1
(b)
Difference in the mass between 20 five-cent coins and 20 ten-cent coins
= 20 x 1.7
= 34 g
= 0.034 kg
Total mass of Cody's coins
= 0.822 - 0.034
= 0.788 kg
Answer(s): (a) Dylan, $1; (b) 0.788 kg