Brandon owned two shops selling apparel. Shop X earned 20% more money than Shop Y on Saturday. On Sunday, Shop X lost $302 while Shop Y earned another $180. In the end, Shop X contributed to 49 of the total earnings of the two shops over the two days operation. How much did Shop X earn over the two days?
| |
Make p the same
(1)x5 = (3) |
X
(1) |
Y
(2) |
Make p the same
(2)x4 = (4) |
| Before |
30 u |
6 u |
5 u |
20 u |
| Change |
- 1510 |
- 302 |
+ 180 |
+ 720 |
| After |
20 p |
4 p |
5 p |
20 p |
Amount that Brandon earned from Shop Y on Saturday in percentage = 100%
Amount that Brandon earned from Shop X on Saturday in percentage
= 100% + 20%
= 120%
120% =
120100 =
65 Fraction of the total earnings that Brandon earned from Shop Y
= 1 -
49 =
59(3) = (4)
30 u - 1510 = 20 u + 720
30 u - 20 u = 1510 + 720
10 u = 2230
1 u = 2230 ÷ 10 = 223
Amount that Brandon earned from Shop X over the two days
= 6 u - 302
= 6 x 223 - 302
= 1338 - 302
= $1036
Answer(s): $1036
