George owned two shops selling handbags. Shop X earned 25% more money than Shop Y on Tuesday. On Wednesday, Shop X lost $182 while Shop Y earned another $299. 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 |
25 u |
5 u |
4 u |
16 u |
| Change |
- 910 |
- 182 |
+ 299 |
+ 1196 |
| After |
20 p |
4 p |
5 p |
20 p |
Amount that George earned from Shop Y on Tuesday in percentage = 100%
Amount that George earned from Shop X on Tuesday in percentage
= 100% + 25%
= 125%
125% =
125100 =
54 Fraction of the total earnings that George earned from Shop Y
= 1 -
49 =
59(3) = (4)
25 u - 910 = 16 u + 1196
25 u - 16 u = 910 + 1196
9 u = 2106
1 u = 2106 ÷ 9 = 234
Amount that George earned from Shop X over the two days
= 5 u - 182
= 5 x 234 - 182
= 1170 - 182
= $988
Answer(s): $988
