Kathy had a sum of money. She spent $100 on a shirt and 710 of the remainder on a sweater. She was left with 110 of the original sum of money.
- What was the total amount Kathy spent?
- How much money did Kathy have at first?
| Shirt |
Remaining amount |
| |
Sweater |
Left |
| $100 |
7 |
3 |
9x3 =
27 u |
1x3 =
3 u |
| 20 u |
7 u |
3 u |
(a)
Fraction of the remaining amount left
= 1 -
710=
310The amount left is repeated.
Make the numerators the same. LCM of 3 and 1 is 3.
310 Remaining amount =
110 Total amount
3x110x1 Remaining amount =
1x310x3 Total amount
310 Remaining amount =
330 Total amount
Amount that Kathy spent on the shirt
= 27 u - 7 u
= 20 u
20 u = 100
1 u = 100 ÷ 20 = 5
Total amount that Kathy spent
= 20 u + 7 u
= 27 u
= 27 x 5
= $135
(b)
Total amount that Kathy had at first
= 30 u
= 30 x 5
= $150
Answer(s): (a) $135; (b) $150
