Lee has 5-cent coins and 50-cent coins. The total value of all his coins is $18. He has 14 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 + 14 |
2 u + 14 |
| Value |
5 |
50 |
|
| Total value |
5 u |
50 u + 700 |
55 u + 700 |
$1 = 100¢
$18 = 18 x 100 = 1800¢
Lee has 14 more 50-cent coins than 5-cent coins.
Number of 5-cent coins = 1 u
Number of 50-cent coins = 1 u + 14
Total value of 5-cent coins
= 5 x 1 u
= 5 u
Total value of 50-cent coins
= 50 x (1 u + 14)
= 50 u + 700
Total value of the coins
= 5 u + 50 u + 700
= 55 u + 700
55 u + 700 = 1800
55 u = 1800 - 700
55 u = 1100
1 u = 1100 ÷ 55 = 20
Total number of coins
= 1 u + (1 u + 14)
= 2 u + 14
= 2 x 20 + 14
= 40 + 14
= 54
Answer(s): 54
