Tiffany had a sum of money. She spent $12 on a coat and 47 of the remainder on a windbreaker. She was left with 13 of the original sum of money.
- What was the total amount Tiffany spent?
- How much money did Tiffany have at first?
| Coat |
Remaining amount |
| |
Windbreaker |
Left |
| $12 |
4 |
3 |
2x3 =
6 u |
1x3 =
3 u |
| 2 u |
4 u |
3 u |
(a)
Fraction of the remaining amount left
= 1 -
47=
37The amount left is repeated.
Make the numerators the same. LCM of 3 and 1 is 3.
37 Remaining amount =
13 Total amount
3x17x1 Remaining amount =
1x33x3 Total amount
37 Remaining amount =
39 Total amount
Amount that Tiffany spent on the coat
= 6 u - 4 u
= 2 u
2 u = 12
1 u = 12 ÷ 2 = 6
Total amount that Tiffany spent
= 2 u + 4 u
= 6 u
= 6 x 6
= $36
(b)
Total amount that Tiffany had at first
= 9 u
= 9 x 6
= $54
Answer(s): (a) $36; (b) $54
