SOLUTION: Kendra has
$6.30
in nickels and quarters. If she has
12
more quarters than nickels, how many of each coin does she have?
Algebra.Com
Question 1058143: Kendra has
$6.30
in nickels and quarters. If she has
12
more quarters than nickels, how many of each coin does she have?
Answer by solve_for_x(190) (Show Source): You can put this solution on YOUR website!
Let x represent the number of quarters, and let y represent the number of nickels.
The total value of the coins is then:
0.25x + 0.05y = 6.30
Since she has 12 more quarters than nickels, you know that:
x = y + 12
Substituting for x in the first equation gives
0.25(y + 12) + 0.05y = 6.30
0.25y + 3 + 0.05y = 6.30
0.30y + 3 = 6.30
0.30y = 6.30 - 3
0.30y = 3.30
y = 3.30 / 0.30
y = 11
x = y + 12 = 11 + 12 = 23
Solution: She has 23 quarters and 11 nickels.
Check:
0.25(23) + 0.05(11) = 5.75 + 0.55 = 6.30
RELATED QUESTIONS
Kendra has
$
6.20
in nickels and quarters. If she has
8
more quarters than... (answered by ikleyn)
Kendra has $3.85 in nickels and quarters. If she has 7 more quarters than nickels, how... (answered by Alan3354)
Kendra has $6.85 in nickels and quarters. If she has 13 more quarters than nickels, how... (answered by macston)
Kendra has $5.35 in nickels and quarters. If she has 13 more quarters than nickels, how... (answered by fractalier)
Kendra has $6.65 in nickels and quarters. If she has 11 more quarters than nickels, how... (answered by ikleyn)
Kendra has $5.85 in nickels and quarters. If she has 15 more quarters than nickels, how... (answered by josgarithmetic)
a person has $2.95 in nickels and quarters. If she has five more nickels than quarters,... (answered by Alan3354)
myrna has $4.80 in nickels and quarters. She has six more nickels than quarters. How many (answered by ewatrrr)
Please help me solve this equation:
Betty has $8.60 in nickels, dimes, and quarters. She (answered by oberobic)