Jen had a sum of money. She spent $110 on a sweater and 35 of the remainder on a skirt. She was left with 18 of the original sum of money.
- What was the total amount Jen spent?
- How much money did Jen have at first?
| Sweater |
Remaining amount |
| |
Skirt |
Left |
| $110 |
3 |
2 |
7x2 =
14 u |
1x2 =
2 u |
| 11 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 =
18 Total amount
2x15x1 Remaining amount =
1x28x2 Total amount
25 Remaining amount =
216 Total amount
Amount that Jen spent on the sweater
= 14 u - 3 u
= 11 u
11 u = 110
1 u = 110 ÷ 11 = 10
Total amount that Jen spent
= 11 u + 3 u
= 14 u
= 14 x 10
= $140
(b)
Total amount that Jen had at first
= 16 u
= 16 x 10
= $160
Answer(s): (a) $140; (b) $160
