Question

Shawna's office recycled a total of 22 kilograms of paper over 11 weeks. How many weeks will it take Shawna's office to recycle a total of 40 kilograms of paper? Solve using unit rates.

Answer 1

20 weeks

Explanation:

Mass of paper recycled by Shawna's office= 22kg

Time taken= 11 weeks

Mass of paper recycled by Shawna's office in 1 week=
`(22)/(11)`

= 2kg

No. of weeks it will take for Shawna's office to recycle a total of 40 kilograms of paper=
`(40)/(2)`

= 20

∴ it will take 20 weeks for Shawna's office to recycle a total of 40 kilograms of paper.

Answer 2

20 weeks

Explanation:

1) Find how long it takes to recycle 1 kg

To find out how long it takes to recycle 1kg we have to divide 11 by 22

• 11 ÷ 22 = 0.5
• This means that for 1kg it takes half a week to recycle.

2) Find out 40kg

We already know how long 1kg takes so to find out 40kg we have to multiply 0.5 by 40

• 0.5 × 40 = 20
• It takes 20 weeks!

Hope this helps, have a lovely day! :)