Question

Jacob has a piggy bank consisting of nickels and dimes. If there are 27 coins worth $1. 60,

how many nickels and dimes are in the bank?

Answer 1

n = number of nickels

d = number of dimes

n + d = 27----->.10n + .10d = 2.70

.05n + .10d = 1.60--->.05n + .10d = 1.60

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.05n = 1.10

n = 22, d = 5

22 nickels, 5 dimes

Answer 2

Answer: 22 nickels and 5 dimes

Explanation:

We will set up a system of equations to help us solve, with one equation for total money and one for number of coins. We know that a nickel is work 0.05 and a dime is worth 0.1. Let x be equal to the number of nickels and y be equal to the number of dimes.

x + y = 27

0.05x + 0.1y = 1.6

Next, we will graph both of these equations. See attached, I used an online graphing calculator. The point of intersection is our solution. This point is (22, 5), meaning we have 22 nickles and 5 dimes.