Rael owned two shops selling electrical appliances. Shop X earned 20% more money than Shop Y on Saturday. On Sunday, Shop X lost $326 while Shop Y earned another $235. In the end, Shop X contributed to 25 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)x3 = (3) |
X
(1) |
Y
(2) |
Make p the same
(2)x2 = (4) |
| Before |
18 u |
6 u |
5 u |
10 u |
| Change |
- 978 |
- 326 |
+ 235 |
+ 470 |
| After |
6 p |
2 p |
3 p |
6 p |
Amount that Rael earned from Shop Y on Saturday in percentage = 100%
Amount that Rael earned from Shop X on Saturday in percentage
= 100% + 20%
= 120%
120% =
120100 =
65 Fraction of the total earnings that Rael earned from Shop Y
= 1 -
25 =
35(3) = (4)
18 u - 978 = 10 u + 470
18 u - 10 u = 978 + 470
8 u = 1448
1 u = 1448 ÷ 8 = 181
Amount that Rael earned from Shop X over the two days
= 6 u - 326
= 6 x 181 - 326
= 1086 - 326
= $760
Answer(s): $760
