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$100$ aluminum cans weigh $5$ pounds. If Ray collects $300$ cans on a cleanup day, how many pounds of cans does he have?

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Divide numbers ending in zeros: word problems

Full solution

Q.

100

aluminum cans weigh

5

pounds. If Ray collects

300

cans on a cleanup day, how many pounds of cans does he have?

Identify Given Information: Identify the given information and what needs to be calculated. $\newline$ We know: $\newline$ - $100$ aluminum cans weigh $5$ pounds. $\newline$ - Ray collects $300$ cans. $\newline$ We need to find out how many pounds $300$ cans weigh.
Determine Relationship: Determine the relationship between the number of cans and their weight. $\newline$ Since $100$ cans weigh $5$ pounds, we can set up a proportion to find the weight of $300$ cans.
Calculate Weight Using Proportion: Calculate the weight of $300$ cans using the proportion. $\newline$ If $100$ cans weigh $5$ pounds, then $1$ can weighs $\frac{5}{100}$ pounds. $\newline$ Therefore, $300$ cans weigh $300 \times \left(\frac{5}{100}\right)$ pounds.
Find Total Weight: Perform the calculation to find the total weight. $\newline$ $300 \times (5/100) = 3 \times 5 = 15$ pounds. $\newline$ Ray has $15$ pounds of cans.

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