Answer:
The number of nickels are 15 and the numbers of quarters are 13 .
Step-by-step explanation:
As given
The number of nickles = n
The number of quarter be q
As given
Yolanda paid for her movie ticket using 28 coins all nickles and quarters.
Than the equations becomes
n + q = 28
As given the ticket cost $4.
As
1 quarter = 0.25 dollar
1 nickel = 0.05 dollar
Than the equation becomes
0.05n + 0.25q = 4
Simplify the above
[tex]\frac{5n}{100} + \frac{25q}{100} = 4[/tex]
5n + 25q = 400
Than two equations are
n + q = 28 and 5n + 25q = 400
Multiply n + q = 28 by 5 and subtracted from 5n + 25q = 400 .
5n - 5n + 25q - 5q = 400 - 140
20q = 260
[tex]q = \frac{260}{20}[/tex]
q = 13
Put in the equation n + q = 28
n + 13 = 28
n = 28 - 13
n = 15
Therefore the number of nickels are 15 and the numbers of quarters are 13 .
