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vesna_86 [32]
3 years ago
10

Carla is a US student. She is purchasing used textbooks, because she is balling on a budget (pro tip: don't ever buy new books)!

She purchased a math book and a reading book, and the total was $54. The price of the math book is $8 more than 3 times the cost of the reading book. What is the cost of each book?

Mathematics
1 answer:
k0ka [10]3 years ago
4 0
I think this is how you do it. Use x as the price of the reading book, then make it an equation. Let me know if you don’t understand any of the steps. Hope that helps!

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the sum of three numbers is 79. The second number is 5 times the first, while the third is 16 more than the first. Find the numb
swat32
Let the 1st number be x; 2nd number be y; 3rd number be z.

x + y + z = 79

x = number we are looking for.
y = x * 5 ==> 5 times the first
z = x + 16 ==> 16 more than the first

Therefor,

x + (x * 5) + (x+16) = 79

1st step, multiply the 2nd number: x * 5 = 5x

x + 5x + x + 16 = 79

Add all like numbers:

7x + 16 = 79

To get x, transfer 16 to the other side and change its sign from positive to negative.

7x = 79 - 16
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To get x, divide both sides by 7

7x/7 = 63/7
x = 9

To check. Substitute x by 9.

x + (x * 5) + (x+16) = 79

9 + (9 * 5) + (9 + 16) = 79
9 + 45 + 25 = 79
79 = 79 equal. value of x is correct.

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Thus the correct answer is option B .

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