Mark owned two shops selling mobile phones. Shop L earned 30% more money than Shop M on Friday. On Saturday, Shop L lost $178 while Shop M earned another $142. 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 |
- 712 |
- 178 |
+ 142 |
+ 710 |
| After |
20 p |
5 p |
4 p |
20 p |
Amount that Mark earned from Shop M on Friday in percentage = 100%
Amount that Mark earned from Shop L on Friday in percentage
= 100% + 30%
= 130%
130% =
130100 =
1310 Fraction of the total earnings that Mark earned from Shop M
= 1 -
59 =
49(3) = (4)
52 u - 712 = 50 u + 710
52 u - 50 u = 712 + 710
2 u = 1422
1 u = 1422 ÷ 2 = 711
Amount that Mark earned from Shop L over the two days
= 13 u - 178
= 13 x 711 - 178
= 9243 - 178
= $9065
Answer(s): $9065
