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what is the answer to this math problem $1$ can equals $8$ hours. how many cans equals $52$ hours?

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Compound events: find the number of outcomes

Full solution

Q. what is the answer to this math problem

1

can equals

8

hours. how many cans equals

52

hours?

Identify Given Information: Identify the given information and what is being asked. $\newline$ We are given that $1$ can equals $8$ hours. We need to find out how many cans equal $52$ hours.
Set Up Proportion: Set up the proportion to solve for the number of cans. $\newline$ If $1$ can equals $8$ hours, then we can set up the following proportion to find out how many cans (let's call this number ' $x$ ') equal $52$ hours: $\newline$ $\frac{1 \text{ can}}{8 \text{ hours}} = \frac{x \text{ cans}}{52 \text{ hours}}$
Solve for 'x': Solve for 'x' by cross-multiplying. $\newline$ $1$ can $\times 52$ hours = $x$ cans $\times 8$ hours $\newline$ $52$ cans $\times$ hours = $8$ cans $\times$ hours $\times x$
Divide to Find 'x': Divide both sides of the equation by $8$ hours to solve for 'x'. $\newline$ $52 \text{ cans} \times \text{ hours} / 8 \text{ hours} = x \text{ cans}$ $\newline$ $x = 52 / 8$ $\newline$ $x = 6.5$

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