Opal had a sum of money. She spent $150 on a coat and 35 of the remainder on a windbreaker. She was left with 110 of the original sum of money.
- What was the total amount Opal spent?
- How much money did Opal have at first?
| Coat |
Remaining amount |
| |
Windbreaker |
Left |
| $150 |
3 |
2 |
9x2 =
18 u |
1x2 =
2 u |
| 15 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 =
110 Total amount
2x15x1 Remaining amount =
1x210x2 Total amount
25 Remaining amount =
220 Total amount
Amount that Opal spent on the coat
= 18 u - 3 u
= 15 u
15 u = 150
1 u = 150 ÷ 15 = 10
Total amount that Opal spent
= 15 u + 3 u
= 18 u
= 18 x 10
= $180
(b)
Total amount that Opal had at first
= 20 u
= 20 x 10
= $200
Answer(s): (a) $180; (b) $200
