Answer:
There are 136 pennies in the jar
Explanation:
The expression for the total value of money Aria has is;
Penny has a value of= $0.01
Quarter has a value of= $0.25
Total value=(value of a quarter×number of quarters)+(value of a penny×number of pennies)
where;
Total value=$42.86
Value of a quarter=$0.25
number of quarters=x
Value of a penny=0.01
number of pennies=y
replacing;
42.86=(0.25×x)+(0.01×y)
0.25 x+0.01 y=42.86....equation 1
The total number of coins=number of quarters+number of pennies
where;
Number of quarters=x
Number of pennies=y
Total number of coins=302
replacing;
x+y=302....equation 2
Combine equation 1 and 2 and solve simultaneously;
1(x+y=302)1
-
4(0.25 x+0.01 y=42.86)
x-4(0.25 x)+y-(0.01 y×4)=302-(4×42.86)
0+0.96 y=130.56
0.96 y=130.56
y=130.56/0.96
y=136
Replace the value of y in equation 2
x+136=302
x=302-136
x=166
Number of quarters=x=166
Number of pennies=y=136