Mark owned two shops selling electrical appliances. Shop Q earned 20% more money than Shop R on Thursday. On Friday, Shop Q lost $185 while Shop R earned another $132. In the end, Shop Q contributed to 512 of the total earnings of the two shops over the two days operation. How much did Shop Q earn over the two days?
| |
Make p the same
(1)x7 = (3) |
Q
(1) |
R
(2) |
Make p the same
(2)x5 = (4) |
| Before |
42 u |
6 u |
5 u |
25 u |
| Change |
- 1295 |
- 185 |
+ 132 |
+ 660 |
| After |
35 p |
5 p |
7 p |
35 p |
Amount that Mark earned from Shop R on Thursday in percentage = 100%
Amount that Mark earned from Shop Q on Thursday in percentage
= 100% + 20%
= 120%
120% =
120100 =
65 Fraction of the total earnings that Mark earned from Shop R
= 1 -
512 =
712(3) = (4)
42 u - 1295 = 25 u + 660
42 u - 25 u = 1295 + 660
17 u = 1955
1 u = 1955 ÷ 17 = 115
Amount that Mark earned from Shop Q over the two days
= 6 u - 185
= 6 x 115 - 185
= 690 - 185
= $505
Answer(s): $505
