Yoko had a sum of money. She spent $126 on a jacket and 35 of the remainder on a shirt. She was left with 17 of the original sum of money.
- What was the total amount Yoko spent?
- How much money did Yoko have at first?
| Jacket |
Remaining amount |
| |
Shirt |
Left |
| $126 |
3 |
2 |
6x2 =
12 u |
1x2 =
2 u |
| 9 u |
3 u |
2 u |
(a)
Fraction of the remaining amount left
= 1 -
35=
25The amount left is repeated.
Make the numerators the same. LCM of 2 and 1 is 2.
25 Remaining amount =
17 Total amount
2x15x1 Remaining amount =
1x27x2 Total amount
25 Remaining amount =
214 Total amount
Amount that Yoko spent on the jacket
= 12 u - 3 u
= 9 u
9 u = 126
1 u = 126 ÷ 9 = 14
Total amount that Yoko spent
= 9 u + 3 u
= 12 u
= 12 x 14
= $168
(b)
Total amount that Yoko had at first
= 14 u
= 14 x 14
= $196
Answer(s): (a) $168; (b) $196
