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Marianna [84]
3 years ago
5

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

Mathematics
1 answer:
scZoUnD [109]3 years ago
4 0

Answer:

Taji has a total of 56 quarters.

Step-by-step explanation:

Let <em>x</em> be the number of quarters that Taji has.

Amount in terms of quarter =0.25 \times x

Let <em>y</em> 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

<em>x </em>is the number of quarters that Taji has.

So, Taji has a total of 56 quarters.

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