Kathy had a sum of money. She spent $144 on a blouse and 25 of the remainder on a windbreaker. She was left with 17 of the original sum of money.
- What was the total amount Kathy spent?
- How much money did Kathy have at first?
| Blouse |
Remaining amount |
| |
Windbreaker |
Left |
| $144 |
2 |
3 |
6x3 =
18 u |
1x3 =
3 u |
| 16 u |
2 u |
3 u |
(a)
Fraction of the remaining amount left
= 1 -
25=
35The amount left is repeated.
Make the numerators the same. LCM of 3 and 1 is 3.
35 Remaining amount =
17 Total amount
3x15x1 Remaining amount =
1x37x3 Total amount
35 Remaining amount =
321 Total amount
Amount that Kathy spent on the blouse
= 18 u - 2 u
= 16 u
16 u = 144
1 u = 144 ÷ 16 = 9
Total amount that Kathy spent
= 16 u + 2 u
= 18 u
= 18 x 9
= $162
(b)
Total amount that Kathy had at first
= 21 u
= 21 x 9
= $189
Answer(s): (a) $162; (b) $189
