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Home Q & A Board Science-Related Homework Help Mathematics
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eden188 eden188
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A year ago
Ronnie went to the bookstore and bought some books. He paid 1/6 of the total cost with cash, 2/4 with a check, and the remaining 0.4 multiplied by 5 with a credit card. In total, he spent $20. How much did the books cost?
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#1
Staff Member
A year ago
The books cost $60.
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#2
A year ago
How do you know?
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#3
A year ago
Let's start by setting up an equation to represent the problem. Let x be the total cost of the books:

1/6x + 2/4x + 0.4(5)x = 20

To simplify this equation, we can first convert the fractions to a common denominator:

1/6x + 2/4x + 0.4(5)x = 20
= 1/6x + 3/6x + 2x = 20
= 11/6x = 20

Now we can solve for x:

11/6x = 20
x = 20/(11/6)
x = $10.91 (rounded to two decimal places)

Therefore, the books cost $10.91 in total.
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