Irene had a sum of money. She spent $276 on a blouse and 27 of the remainder on a sweater. She was left with 16 of the original sum of money.
- What was the total amount Irene spent?
- How much money did Irene have at first?
Blouse |
Remaining amount |
|
Sweater |
Left |
$276 |
2 |
5 |
5x5 = 25 u |
1x5 = 5 u |
23 u |
2 u |
5 u |
(a)
Fraction of the remaining amount left
= 1 -
27=
57The amount left is repeated.
Make the numerators the same. LCM of 5 and 1 is 5.
57 Remaining amount =
16 Total amount
5x17x1 Remaining amount =
1x56x5 Total amount
57 Remaining amount =
530 Total amount
Amount that Irene spent on the blouse
= 25 u - 2 u
= 23 u
23 u = 276
1 u = 276 ÷ 23 = 12
Total amount that Irene spent
= 23 u + 2 u
= 25 u
= 25 x 12
= $300
(b)
Total amount that Irene had at first
= 30 u
= 30 x 12
= $360
Answer(s): (a) $300; (b) $360