Archie has 5-cent coins and 50-cent coins. The total value of all his coins is $29. He has 3 less 5-cent coins than 50-cent coins. How many coins does he have altogether?
|
5-cent |
50-cent |
Total |
Number |
1 u |
1 u + 3 |
2 u + 3 |
Value |
5 |
50 |
|
Total value |
5 u |
50 u + 150 |
55 u + 150 |
$1 = 100¢
$29 = 29 x 100 = 2900¢
Archie has 3 more 50-cent coins than 5-cent coins.
Number of 5-cent coins = 1 u
Number of 50-cent coins = 1 u + 3
Total value of 5-cent coins
= 5 x 1 u
= 5 u
Total value of 50-cent coins
= 50 x (1 u + 3)
= 50 u + 150
Total value of the coins
= 5 u + 50 u + 150
= 55 u + 150
55 u + 150 = 2900
55 u = 2900 - 150
55 u = 2750
1 u = 2750 ÷ 55 = 50
Total number of coins
= 1 u + (1 u + 3)
= 2 u + 3
= 2 x 50 + 3
= 100 + 3
= 103
Answer(s): 103