Question

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

Answer 1

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 $=0.25 \times x$

Let y be the number of dimes that Taji has.

Amount in terms of quarter $=0.10 \times y$

As per question statement:

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

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

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

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.