Question

Sally has 20 coins in her piggy bank, all dimes and quarters. The total amount of money is $3.05 If d = the number of dimes and q = the number of quarters Sally has, one of the linear equations that could be used to model this situations is

Answer 1

`d + q = 20`

`0.25d + 0.10q = 3.05`

Explanation:

Given

Coins = 20

Value = $3.05

Required

Determine the equation that represent this

From the question, we have that

d = the number of dimes

q = the number of quarters

This implies that;

`d + q = 20`

Also;

`1 d=\$0.25\ \ and\ \\1 q= \$0.10`---------- Standard unit of conversion;

This implies that

`0.25d + 0.10q = 3.05`

Hence, the equations are:

`d + q = 20`

`0.25d + 0.10q = 3.05`