Please help asapppppp
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Answer:
She have <u>53</u> type of quarters and <u>27</u> type of nickels.
Step-by-step explanation:
Given:
Sam has a jar contain 80 coins, all of which are either quarters or nickels.
The total value of quarters and nickels is $14.60.
Now, to get each type of coin she have.
Let the number of quarters be
And let the number of nickels be
<u><em>So, total number of coins:</em></u>
<u><em>Now, the total value of coins:</em></u>
Substituting the value of from equation (1):
<em>Subtracting both sides by 4 we get:</em>
<em /><em />
<em>Dividing both sides by 0.20 we get:</em>
<u>The number of quarters = 53.</u>
Now, to get the number of nickels by substituting the value of in equation (1):
<u>The number of nickels = 27.</u>
Therefore, she have 53 type of quarters and 27 type of nickels.