Glen owned two shops selling carpets. Shop X earned 50% more money than Shop Y on Tuesday. On Wednesday, Shop X lost $385 while Shop Y earned another $161. 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 |
15 u |
3 u |
2 u |
8 u |
| Change |
- 1925 |
- 385 |
+ 161 |
+ 644 |
| After |
20 p |
4 p |
5 p |
20 p |
Amount that Glen earned from Shop Y on Tuesday in percentage = 100%
Amount that Glen earned from Shop X on Tuesday in percentage
= 100% + 50%
= 150%
150% =
150100 =
32 Fraction of the total earnings that Glen earned from Shop Y
= 1 -
49 =
59(3) = (4)
15 u - 1925 = 8 u + 644
15 u - 8 u = 1925 + 644
7 u = 2569
1 u = 2569 ÷ 7 = 367
Amount that Glen earned from Shop X over the two days
= 3 u - 385
= 3 x 367 - 385
= 1101 - 385
= $716
Answer(s): $716
