Caitlin has $5 and $10 bills that are worth $675. She has twice as many $10 bills as $5 bills. How many of each type of bill doe

Question

4 years ago

8

s she have?

1 answer:

Lerok [7] · Answer 1 · 2021-12-22T22:53:21+03:00

Caitlin has 27 $5 bills and 54 $10 bills.

Step-by-step explanation:

Given,

Worth of $5 and $10 bills = $675

Let,

Number of $5 bills = x

Number of $10 bills = y

According to given statement;

5x+10y=675 Eqn 1

She has twice as many $10 bills as $5 bills.

y=2x Eqn 2

Putting value of y from Eqn 2 in Eqn 1

$5x+10(2x)=675\\5x+20x=675\\25x=675$

Dividing both sides by 25

$\frac{25x}{25}=\frac{675}{25}\\x=27$

Putting x=27 in Eqn 2

$y=2(27)\\y=54$

Caitlin has 27 $5 bills and 54 $10 bills.

Keywords: linear equation, substitution method

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