Respuesta :
Answer:
x + y = 104
0.05x + 0.25y = 22
x = 20 niquels and y = 84 quarters
Step-by-step explanation:
Each niquel is $0.05, and each quarter is $0.25
So if we have x niquels and y quarters, we can set this system of equations:
x + y = 104 (eq1)
0.05x + 0.25y = 22 (eq2)
If we multiply the second equation by 4, and then subtract it from the first equation, we have:
(eq2)*4: 0.2x + y = 88
(eq1) - 4*(eq2): 0.8x = 16
x = 20
Now finding y with the first equation:
20 + y = 104
y = 84
Answer:
Anthony has 20 nickels and 84 quarters
Step-by-step explanation:
Each nickel is worth $0.05, while each quarter is worth $0.25, therefore the number of nickels and quarters multiplied by their respective values must be equal to the total of money Anthony has:
0.05*nickel + 0.25*quarter = 22
And the sum of the number of nickels and quarters must be equal to the total number of coins he has:
nickel + quarter = 104
So the system is:
0.05*nickel + 0.25*quarter = 22
nickel + quarter = 104
To solve this we will multiply the second equation by -0.25
0.05*nickel + 0.25*quarter = 22
-0.25*nickel -0.25*quarter = -26
We now sum the equations:
-0.20*nickel = -4
nickel = -4/(-0.2) = 20
Using the second equation we can find the number of quarters:
20 + quarter = 104
quarter = 104 - 20 = 84
