Xavier owned two shops selling jewellery. Shop L earned 40% more money than Shop M on Tuesday. On Wednesday, Shop L lost $293 while Shop M earned another $428. 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 |
28 u |
7 u |
5 u |
25 u |
| Change |
- 1172 |
- 293 |
+ 428 |
+ 2140 |
| After |
20 p |
5 p |
4 p |
20 p |
Amount that Xavier earned from Shop M on Tuesday in percentage = 100%
Amount that Xavier earned from Shop L on Tuesday in percentage
= 100% + 40%
= 140%
140% =
140100 =
75 Fraction of the total earnings that Xavier earned from Shop M
= 1 -
59 =
49(3) = (4)
28 u - 1172 = 25 u + 2140
28 u - 25 u = 1172 + 2140
3 u = 3312
1 u = 3312 ÷ 3 = 1104
Amount that Xavier earned from Shop L over the two days
= 7 u - 293
= 7 x 1104 - 293
= 7728 - 293
= $7435
Answer(s): $7435
