Mr. Holloway is a craftsman who makes custom guitars by hand. His last order was for 2 guitars, and it took him 8 weeks to make them. He receives an order to make 7 guitars.
If he makes the guitars at the same rate, how long will it take Mr. Holloway to make the guitars?
Answers
It takes Mr. Holloway 8 weeks to make 2 guitars. Write this as a rate.
8 weeks
2 guitars
Divide the numerator and denominator by 2 to find the unit rate.
8 weeks÷2
2 guitars÷2
=
4 weeks
1 guitar
It takes Mr. Halloway 4 weeks to make 1 guitar. You want to find how long it will take him to make 7 guitars. Write a proportion.
4 weeks
1 guitar
=
? weeks
7 guitars
Compare the denominators.
4 weeks
1guitar
=
? weeks
7guitars
To get from 1 to 7, multiply by 7. Multiply the numerator and denominator by 7 to find how long it will take Mr. Halloway to make 7 guitars.
4 weeks7
1 guitar7
=
28weeks
7 guitars
It will take Mr. Halloway 28 weeks to make 7 guitars.
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Answer:
28 weeks
Step-by-step explanation:
It takes Mr. Holloway 8 weeks to make 2 guitars. Write this as a rate.
8 weeks
2 guitars
Divide the numerator and denominator by 2 to find the unit rate.
8 weeks÷2
2 guitars÷2
=
4 weeks
1 guitar
It takes Mr. Halloway 4 weeks to make 1 guitar. You want to find how long it will take him to make 7 guitars. Write a proportion.
4 weeks
1 guitar
= ? weeks
7 guitars
Compare the denominators.
4 weeks
1 guitar =
? weeks
7guitars
To get from 1 to 7, multiply by 7. Multiply the numerator and denominator by 7 to find how long it will take Mr. Halloway to make 7 guitars.
4 weeks7
1 guitar7
=
28weeks
7 guitars
It will take Mr. Halloway 28 weeks to make 7 guitars.