Kylie had a sum of money. She spent $-2 on a skirt and 710 of the remainder on a jacket. She was left with 13 of the original sum of money.
- What was the total amount Kylie spent?
- How much money did Kylie have at first?
Skirt |
Remaining amount |
|
Jacket |
Left |
$-2 |
7 |
3 |
2x3 = 6 u |
1x3 = 3 u |
-1 u |
7 u |
3 u |
(a)
Fraction of the remaining amount left
= 1 -
710=
310The amount left is repeated.
Make the numerators the same. LCM of 3 and 1 is 3.
310 Remaining amount =
13 Total amount
3x110x1 Remaining amount =
1x33x3 Total amount
310 Remaining amount =
39 Total amount
Amount that Kylie spent on the skirt
= 6 u - 7 u
= -1 u
-1 u = -2
1 u = -2 ÷ -1 = 2
Total amount that Kylie spent
= -1 u + 7 u
= 6 u
= 6 x 2
= $12
(b)
Total amount that Kylie had at first
= 9 u
= 9 x 2
= $18
Answer(s): (a) $12; (b) $18