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Chapter 3: Q. 3.52 (page 340)

Liliana has $2.10 in nickels and quarters in her backpack. She has 12 more nickels than quarters. How many coins of each type does she have?

Short Answer

Expert verified

Liliana has 17nickels and 5quarters in her backpack.

Step by step solution

01

Step 1. Given information.

Consider the given question,

Liliana has 12more nickels than quarters.

We know, the value of a nickels is localid="1647109290873" $0.05and the value of quarters is localid="1647109292642" $0.25. The total value of all the coins is localid="1647109294933" $2.10.

Assume nand qto be the number of nickels and quarters.

localid="1647109297681" q=n-12

Make the table,

02

Step 2. Form the equation.

Consider the table, we can see,

0.25n-12+0.05n=2.100.25n-3+0.05n=2.10.3n=5.1n=17

Then,

q=17-12q=5

Therefore, the number of nickels is 17and the number of quarters is5.

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