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

1 answer

###### Question:

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

## Answers

Answer:Taji has a total of 56 quarters. Step-by-step explanation:Let x be the number of quarters that Taji has. Amount in terms of quarter [tex]=0.25 \times x[/tex] Let y be the number of dimes that Taji has. Amount in terms of quarter [tex]=0.10 \times y[/tex] As per question statement: [tex]x + y = 98 ...... (1)[/tex] Total amount is $18.20 as given in the question statement. [tex]\Rightarrow 18.20 = 0.25 \times x + 0.10 \times y\\\Rightarrow 25x + 10y = 1820 ...... (2)[/tex]Solving equations (1) and (2): Multiplying equation (1) by 10 and subtracting from equation (2): [tex]25x + 10y -10x -10y= 1820 - 980\\\Rightarrow 15x = 840\\\Rightarrow x = 56[/tex] x is the number of quarters that Taji has.So, Taji has a total of 56 quarters.

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