There are 62 quarters and 52 dimes in the jar.
Step-by-step explanation:
Given,
Worth of jar coins = $20.70 = 20.70*100 = 2070 cents
1 Quarter = 25 cents
1 Dime = 10 cents
Let,
Number of quarters = x
Number of dimes = y
According to given statement;
25x+10y=2070 Eqn 1
x=y+10 Eqn 2
Putting value of x from Eqn 2 in Eqn 1
[tex]25(y+10)+10y=2070\\25y+250+10y=2070\\35y=2070-250\\35y=1820\\[/tex]
Dividing both sides by 35
[tex]\frac{35y}{35}=\frac{1820}{35}\\y=52[/tex]
Putting y=52 in Eqn 2
[tex]x=52+10\\x=62[/tex]
There are 62 quarters and 52 dimes in the jar.
Keywords: linear equation, substitution method
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