The number of five-cent coins in a pouch was
13 the number of fifty-cent coins. Wesley took out 19 fifty-cent coins and exchanged them for five-cent coins. Then he put the money back into the pouch. The number of fifty-cent coins became
58 the number of five-cent coins. How much money was there in the pouch?
|
Make u the same (1)x3 = (3) |
5-cent (1) |
50-cent (2) |
Before |
3 u |
1 u |
3 u |
Change |
+ 570 |
+ 190 |
- 19 |
After |
24 p |
8 p |
5 p |
Value of 50-cent coins to be exchanged to 5-cent coins
= 19 x 50
= 950
Number of 5-cent coins to be exchanged from the 50-cent coins
= 950 ÷ 5
= 190
(3) = (2)
24 p - 570 = 5 p + 19
24 p - 5 p = 19 + 570
19 p = 589
1 p = 589 ÷ 19 = 31
Number of 5-cent coins in the end
= 8 p
= 8 p x 31
= 248
Value of 5-cent coins in the end
= 248 x 5
= 1240¢
Number of 50-cent coins in the end
= 5 p
= 5 x 31
= 155
Value of 50-cent coins in the end
= 155 x 50
= 7750¢
Total value of coins
= 1240 + 7750
= 8990¢
$1 = 100¢
8990¢ = $89.90
Answer(s): $89.90