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At Andy's Market, the price of a box of brand-name cereal is $1$ . $5$ times the price of a box of generic cereal. If the price of a box of brand-name cereal is $\$ 3.60$ , which of the following can be used to determine $x$ , the price of a box of generic cereal in dollars? $\newline$ Choose $1$ answer: $\newline$ (A) $\frac{x}{1.5}=3.6$ $\newline$ (B) $1.5 x=3.6$ $\newline$ (C) $3.6 x=1.5$ $\newline$ (D) $x+1.5=3.6$

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Counting principle

Full solution

Q. At Andy's Market, the price of a box of brand-name cereal is

1

.

5

times the price of a box of generic cereal. If the price of a box of brand-name cereal is

\$ 3.60

, which of the following can be used to determine

x

, the price of a box of generic cereal in dollars?

\newline

Choose

1

answer:

\newline

(A)

\frac{x}{1.5}=3.6

\newline

(B)

1.5 x=3.6

\newline

(C)

3.6 x=1.5

\newline

(D)

x+1.5=3.6

Denoting the price: Let's denote the price of a box of generic cereal as $x$ dollars. According to the problem, the price of a box of brand-name cereal is $1.5$ times the price of a box of generic cereal. We are given that the price of a box of brand-name cereal is $\$3.60$ . We can set up an equation to find $x$ .
Setting up the equation: We can express the relationship between the brand-name cereal and the generic cereal as follows: the price of the brand-name cereal (which is $\$3.60$ ) is equal to $1.5$ times the price of the generic cereal (which we are calling $x$ ). This gives us the equation $1.5 \times x = 3.60$ .
Solving for x: To solve for x, we need to divide both sides of the equation by $1.5$ . This will isolate $x$ on one side of the equation, giving us $x = \frac{3.60}{1.5}.$
Finding the price of generic cereal: Performing the division, we get $x = 2.40$ . This means that the price of a box of generic cereal is $\$2.40$ .

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