George has 5-cent coins and 50-cent coins. The total value of all his coins is $11. He has 11 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 + 11 |
2 u + 11 |
Value |
5 |
50 |
|
Total value |
5 u |
50 u + 550 |
55 u + 550 |
$1 = 100¢
$11 = 11 x 100 = 1100¢
George has 11 more 50-cent coins than 5-cent coins.
Number of 5-cent coins = 1 u
Number of 50-cent coins = 1 u + 11
Total value of 5-cent coins
= 5 x 1 u
= 5 u
Total value of 50-cent coins
= 50 x (1 u + 11)
= 50 u + 550
Total value of the coins
= 5 u + 50 u + 550
= 55 u + 550
55 u + 550 = 1100
55 u = 1100 - 550
55 u = 550
1 u = 550 ÷ 55 = 10
Total number of coins
= 1 u + (1 u + 11)
= 2 u + 11
= 2 x 10 + 11
= 20 + 11
= 31
Answer(s): 31