Question

Leah has $13$ coins, all of which are pennies and nickels. If she had one more nickel than she has now, then she would have the same number of pennies and nickels. In cents, how much are Leah's coins worth?

$33$

$35$

$37$

$39$

$41$

Answer: C

Concepts:linear equation money

Difficulty rating: 920

Solution:

Let $n$ be the number of nickels, so Leah has $13-n$ pennies. One more nickel would give her $n+1$ nickels, and this equals the number of pennies: $n+1 = 13-n.$ Solving gives $n=6,$ so there are $6$ nickels and $7$ pennies.

The total value is $6\cdot5 + 7 = 37$ cents.

Thus, the correct answer is C.

2014 AMC 12B Problem 1

Answer: C

Difficulty rating: 920

Solution:

Problem 1 in Other Years