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Charles owns a toy store. There are 8 dolls for every 5dump trucks in his inventory. If there are 35 dump trucks, how many dolls are in the store?

Charles owns a toy store. There are $8$ dolls for every $5$ dump trucks in his inventory. If there are $35$ dump trucks, how many dolls are in the store?

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Identify quotients of rational numbers: word problems

Full solution

Q. Charles owns a toy store. There are

8

dolls for every

5

dump trucks in his inventory. If there are

35

dump trucks, how many dolls are in the store?

Set Ratio: question_prompt: How many dolls are in Charles's toy store if there are $35$ dump trucks and the ratio of dolls to dump trucks is $8$ to $5$ ?
Calculate Groups: Step $1$ : Set up the ratio of dolls to dump trucks, which is $8$ dolls for every $5$ dump trucks.
Find Total: Step $2$ : Since there are $35$ dump trucks, we need to find out how many groups of $5$ dump trucks there are in $35$ . So, we do $35 \div 5$ .
Multiply Groups: Step $3$ : Calculate $35 \div 5 = 7$ . This means there are $7$ groups of $5$ dump trucks.
Calculate Total: Step $4$ : For every group of $5$ dump trucks, there are $8$ dolls. So, we multiply the number of groups by $8$ to find the total number of dolls. So, we do $7 \times 8$ .
Calculate Total: Step $4$ : For every group of $5$ dump trucks, there are $8$ dolls. So, we multiply the number of groups by $8$ to find the total number of dolls. So, we do $7 \times 8$ . Step $5$ : Calculate $7 \times 8 = 56$ . So, there are $56$ dolls in the store.

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