Erika had a sum of money. She spent $660 on a skirt and 37 of the remainder on a windbreaker. She was left with 110 of the original sum of money.
- What was the total amount Erika spent?
- How much money did Erika have at first?
| Skirt |
Remaining amount |
| |
Windbreaker |
Left |
| $660 |
3 |
4 |
9x4 =
36 u |
1x4 =
4 u |
| 33 u |
3 u |
4 u |
(a)
Fraction of the remaining amount left
= 1 -
37=
47The amount left is repeated.
Make the numerators the same. LCM of 4 and 1 is 4.
47 Remaining amount =
110 Total amount
4x17x1 Remaining amount =
1x410x4 Total amount
47 Remaining amount =
440 Total amount
Amount that Erika spent on the skirt
= 36 u - 3 u
= 33 u
33 u = 660
1 u = 660 ÷ 33 = 20
Total amount that Erika spent
= 33 u + 3 u
= 36 u
= 36 x 20
= $720
(b)
Total amount that Erika had at first
= 40 u
= 40 x 20
= $800
Answer(s): (a) $720; (b) $800
