Nicole had a sum of money. She spent $57 on a skirt and 35 of the remainder on a shirt. She was left with 14 of the original sum of money.
- What was the total amount Nicole spent?
- How much money did Nicole have at first?
Skirt |
Remaining amount |
|
Shirt |
Left |
$57 |
3 |
2 |
3x2 = 6 u |
1x2 = 2 u |
3 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 =
14 Total amount
2x15x1 Remaining amount =
1x24x2 Total amount
25 Remaining amount =
28 Total amount
Amount that Nicole spent on the skirt
= 6 u - 3 u
= 3 u
3 u = 57
1 u = 57 ÷ 3 = 19
Total amount that Nicole spent
= 3 u + 3 u
= 6 u
= 6 x 19
= $114
(b)
Total amount that Nicole had at first
= 8 u
= 8 x 19
= $152
Answer(s): (a) $114; (b) $152