Question

Taji has a total of 98 quarters and dimes. their value is $18.20 how many quarters does taji have?

Answer 1

Taji has a total of 56 quarters.

Explanation:

Let x be the number of quarters that Taji has.

Amount in terms of quarter
`=0.25 * x`

Let y be the number of dimes that Taji has.

Amount in terms of quarter
`=0.10 * y`

As per question statement:

`x + y = 98 ...... (1)`

Total amount is $18.20 as given in the question statement.

`\Rightarrow 18.20 = 0.25 * x + 0.10 * y\\\Rightarrow 25x + 10y = 1820 ...... (2)`

Solving equations (1) and (2):

Multiplying equation (1) by 10 and subtracting from equation (2):

`25x + 10y -10x -10y= 1820 - 980\\\Rightarrow 15x = 840\\\Rightarrow x = 56`

x is the number of quarters that Taji has.

So, Taji has a total of 56 quarters.