PSLE Neave and Fred have the same total number of coins. Neave has a number of ten-cent coins and 44 five-cent coins. The total mass of his coins is 0.806 kg. Fred has a number of ten-cent coins and 104 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 2.4 g heavier than each five-cent coin. What is the total mass of Fred's coins in kg?
(a)
Both boys have the same number of coins. Since Fred has more five-cent coins than Neave, it means that Fred has less ten-cent coins than Neave. So Fred has less money.
Difference in the number of five-cent coins.
= 104 - 44
= 60
Difference in the value of 1 five-cent coin and 1 ten-cent coin
= 10 - 5
= 5¢
Amount that Fred had less than Neave
= 60 x 5
= 300¢
= $3
(b)
Difference in the mass between 60 five-cent coins and 60 ten-cent coins
= 60 x 2.4
= 144 g
= 0.144 kg
Total mass of Fred's coins
= 0.806 - 0.144
= 0.662 kg
Answer(s): (a) Neave, $3; (b) 0.662 kg