Dylan owned two shops selling watches. Shop L earned 30% more money than Shop M on Saturday. On Sunday, Shop L lost $117 while Shop M earned another $310. In the end, Shop L contributed to 59 of the total earnings of the two shops over the two days operation. How much did Shop L earn over the two days?
| |
Make p the same
(1)x4 = (3) |
Shop L
(1) |
Shop M
(2) |
Make p the same
(2)x5 = (4) |
| Before |
52 u |
13 u |
10 u |
50 u |
| Change |
- 468 |
- 117 |
+ 310 |
+ 1550 |
| After |
20 p |
5 p |
4 p |
20 p |
Amount that Dylan earned from Shop M on Saturday in percentage = 100%
Amount that Dylan earned from Shop L on Saturday in percentage
= 100% + 30%
= 130%
130% =
130100 =
1310 Fraction of the total earnings that Dylan earned from Shop M
= 1 -
59 =
49(3) = (4)
52 u - 468 = 50 u + 1550
52 u - 50 u = 468 + 1550
2 u = 2018
1 u = 2018 ÷ 2 = 1009
Amount that Dylan earned from Shop L over the two days
= 13 u - 117
= 13 x 1009 - 117
= 13117 - 117
= $13000
Answer(s): $13000
