A sum of $8.25 is made up of 100 coins, which are either 10 cents or 5 cents. How many 10 cent coins are there?
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Answer:
65 coins
Step-by-step explanation:
let the number of 10 cents coins be x
let the number of 5 cents coins be y
Now, we know that there are total 100 coins
so, x+y= 100. ---(1)
The total amt of money is 8.25$ i.e. 825 cents
So, 10x + 5y = 825. ---(2)
from equation (1) :
x= 100-y
Using it in eq (2):
10(100-y) + 5y = 825
1000- 10y + 5y = 825
5y = 1000-825
5y= 175
y= 35
Now, x+y= 100
x+35= 100
x = 100-35
x = 65
So, there are 65 coins of 10 cents
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