Penelope had a sum of money. She spent $266 on a blouse and 25 of the remainder on a jacket. She was left with 18 of the original sum of money.
- What was the total amount Penelope spent?
- How much money did Penelope have at first?
Blouse |
Remaining amount |
|
Jacket |
Left |
$266 |
2 |
3 |
7x3 = 21 u |
1x3 = 3 u |
19 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 =
18 Total amount
3x15x1 Remaining amount =
1x38x3 Total amount
35 Remaining amount =
324 Total amount
Amount that Penelope spent on the blouse
= 21 u - 2 u
= 19 u
19 u = 266
1 u = 266 ÷ 19 = 14
Total amount that Penelope spent
= 19 u + 2 u
= 21 u
= 21 x 14
= $294
(b)
Total amount that Penelope had at first
= 24 u
= 24 x 14
= $336
Answer(s): (a) $294; (b) $336