Betty has 10 more dimes than quarters. If she has $3.45, how many coins does she have?

How many quarters and how many dimes?

How many quarters and how many dimes?

x = # of quarters

x + 10 = # of dimes

.25x + .1(x + 10) = 3.45 {value of each multiplied by # of each equals total value}

.25x + .1x + 1 = 3.45 {used distributive property}

.35x + 1 = 3.45 {combined like terms}

.35x = 2.45 {subtracted 1 from both sides}

x = 7 quarters {divided both sides by .35}

x + 10 = 17 dimes {substituted 7 in for x into x + 10}

7 quarters and 17 dimes

- Algebra House

x + 10 = # of dimes

.25x + .1(x + 10) = 3.45 {value of each multiplied by # of each equals total value}

.25x + .1x + 1 = 3.45 {used distributive property}

.35x + 1 = 3.45 {combined like terms}

.35x = 2.45 {subtracted 1 from both sides}

x = 7 quarters {divided both sides by .35}

x + 10 = 17 dimes {substituted 7 in for x into x + 10}

7 quarters and 17 dimes

- Algebra House