Japheth has twice as many coins as Valen. Valen has 7 more coins than Fred. They have a total of 137 coins.
- How many coins does Japheth have?
- How many coins does Fred have?
(a)
Number of coins that Valen has = 1 u
Number of coins that Fred has = 1 u - 7
Number of coins that Japheth has = 2 u
Total number of coins
= 1 u + 1 u - 7 + 2 u
= 4 u - 7
4 u - 7 = 137
4 u = 137 + 7
4 u = 144
1 u = 144 ÷ 4 = 36
Number of coins that Japheth has
= 2 u
= 2 x 36
= 72
(b)
Number of coins that Fred has
= 1 u - 7
= 36 - 7
= 29
Answer(s): (a) 72; (b) 29
