Cindy decided to shop online. She was buying books ($6 each) and candles ($4 each). She bought 15 items and spent $78. How many books did she buy?

Respuesta :

Answer:

9 books

Step-by-step explanation:

78=b(6)+c(4)

78=9(6)+6(4)

78=54+24

78=78-True

As per linear equation, Cindy bought 9 books online.

What is a linear equation?

"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.

The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant."

Given, Cindy was buying books ($6 each) and candles ($4 each).

She bought 15 items and spent $78.

Let, she bought 'x' books.

Therefore, she bought (15 - x) candles.

Now, the cost of the total 15 items is

= $[6x + 4(15 - x)]

= $[6x + 60 - 4x]

= $[2x + 60]

Therefore, 2x + 60 = 78

⇒ 2x = 78 - 60

⇒ 2x = 18

⇒ x = 9

Therefore, Cindy bought 9 books.

Learn more about a linear equations here: https://brainly.com/question/11897796

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