Cathy had a sum of money. She spent $714 on a jumpsuit and 38 of the remainder on a windbreaker. She was left with 110 of the original sum of money.
- What was the total amount Cathy spent?
- How much money did Cathy have at first?
Jumpsuit |
Remaining amount |
|
Windbreaker |
Left |
$714 |
3 |
5 |
9x5 = 45 u |
1x5 = 5 u |
42 u |
3 u |
5 u |
(a)
Fraction of the remaining amount left
= 1 -
38=
58The amount left is repeated.
Make the numerators the same. LCM of 5 and 1 is 5.
58 Remaining amount =
110 Total amount
5x18x1 Remaining amount =
1x510x5 Total amount
58 Remaining amount =
550 Total amount
Amount that Cathy spent on the jumpsuit
= 45 u - 3 u
= 42 u
42 u = 714
1 u = 714 ÷ 42 = 17
Total amount that Cathy spent
= 42 u + 3 u
= 45 u
= 45 x 17
= $765
(b)
Total amount that Cathy had at first
= 50 u
= 50 x 17
= $850
Answer(s): (a) $765; (b) $850