Katie and Bryan have the same number of coins. Katie has only dimes and Brian has only quarters.

Question

if Brian has $1.80 more than Katie, how many coins does each have?

Answer 1

Let x represent the number of coins each person has.

 

The value of Katie's coins is .10x since she has dimes.

The value of Bryan's coins is .25x since he has quarters.

 

Since Brian has $1.80 more than Katie, we have the equation: .10x + 1.80 = .25x

 

Solving, we would subtract .10x from both sides giving us:                  1.80 = .15x

Dividing both sides by .15 gives us:                                                      12 = x

 

Therefore they each have 12 coins.

 

Katie's coins have a value of 12 * .10, or $1.20

Bryan's coins have a value of 12*.25, or $3.00

 

Bryan has $1.80 more than Katie.