Japheth, Tim and Mary share a sum of money. Japheth's share is half of what Tim and Mary receive. Tim's share is
59 of the sum of money. Mary receives $20 less than Japheth.
- What fraction of the sum of money is Japheth's share?
- How much is the sum of money?
Japheth |
Mary |
Tim |
Total |
1x3 |
2x3 |
3x3 |
4 |
5 |
9 |
3 u |
1 u |
5 u |
9 u |
(a)
The total amount that Japheth, Tim and Mary had is repeated. Make the total amount the same. LCM of 3 and 9 is 9.
Japheth's shareTotal amount =
39 =
13 (b)
Amount that Mary had less than Japheth
= 3 u - 1 u
= 2 u
2 u = 20
1 u = 20 ÷ 2 = 10
Total amount that Japheth, Tim and Mary had
= 9 u
= 9 x 10
= $90
Answer(s): (a)
13; (b) $90