Kathy had a sum of money. She spent $105 on a coat and 35 of the remainder on a dress. She was left with 16 of the original sum of money.
- What was the total amount Kathy spent?
- How much money did Kathy have at first?
| Coat |
Remaining amount |
| |
Dress |
Left |
| $105 |
3 |
2 |
5x2 =
10 u |
1x2 =
2 u |
| 7 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 =
16 Total amount
2x15x1 Remaining amount =
1x26x2 Total amount
25 Remaining amount =
212 Total amount
Amount that Kathy spent on the coat
= 10 u - 3 u
= 7 u
7 u = 105
1 u = 105 ÷ 7 = 15
Total amount that Kathy spent
= 7 u + 3 u
= 10 u
= 10 x 15
= $150
(b)
Total amount that Kathy had at first
= 12 u
= 12 x 15
= $180
Answer(s): (a) $150; (b) $180
