Carl owned two shops selling lighting. Shop W earned 25% more money than Shop X on Tuesday. On Wednesday, Shop W lost $120 while Shop X earned another $321. In the end, Shop W contributed to 512 of the total earnings of the two shops over the two days operation. How much did Shop W earn over the two days?
|
Make p the same (1)x7 = (3) |
W (1) |
X (2) |
Make p the same (2)x5 = (4) |
Before |
35 u |
5 u |
4 u |
20 u |
Change |
- 840 |
- 120 |
+ 321 |
+ 1605 |
After |
35 p |
5 p |
7 p |
35 p |
Amount that Carl earned from Shop X on Tuesday in percentage = 100%
Amount that Carl earned from Shop W on Tuesday in percentage
= 100% + 25%
= 125%
125% =
125100 =
54 Fraction of the total earnings that Carl earned from Shop X
= 1 -
512 =
712(3) = (4)
35 u - 840 = 20 u + 1605
35 u - 20 u = 840 + 1605
15 u = 2445
1 u = 2445 ÷ 15 = 163
Amount that Carl earned from Shop W over the two days
= 5 u - 120
= 5 x 163 - 120
= 815 - 120
= $695
Answer(s): $695