Marion had a sum of money. She spent $208 on a blazer and 25 of the remainder on a sweater. She was left with 16 of the original sum of money.
- What was the total amount Marion spent?
- How much money did Marion have at first?
| Blazer |
Remaining amount |
| |
Sweater |
Left |
| $208 |
2 |
3 |
5x3 =
15 u |
1x3 =
3 u |
| 13 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 =
16 Total amount
3x15x1 Remaining amount =
1x36x3 Total amount
35 Remaining amount =
318 Total amount
Amount that Marion spent on the blazer
= 15 u - 2 u
= 13 u
13 u = 208
1 u = 208 ÷ 13 = 16
Total amount that Marion spent
= 13 u + 2 u
= 15 u
= 15 x 16
= $240
(b)
Total amount that Marion had at first
= 18 u
= 18 x 16
= $288
Answer(s): (a) $240; (b) $288
