Question

Dionne can fold 175 packing boxes in 50 minutes.

Elias can fold 120 packing boxes in 40 minutes.

Use unit rates to find how much time it will take each person to fold 210 packing boxes.
Drag the numbers to explain and show your answer. Numbers may be used once or not at all.
370803.54.550604
Dionne can fold
boxes in 1 minute and Elias can fold
boxes in 1 minute.
Dionne will fold 210 boxes in
minutes and Elias will fold 210 boxes in
minutes.

Answer 1

REFER THE ATTACHMENT ABOVE ☝☝☝☝

Answer 2

`(176)/(50m) = (3.5)/(1)`

RESULT

Use ratio and proportion.

Let x be the time it takes Dionne to fold 210 packing boxes:

`(175)/(50) = (210)/(x) \\ \\ cross \: multiply \\ \\ \\ 175x = 50(210) \\ \\ x = (50(210))/(175) \\ \\ x = (50(210))/(175) \\ \\ x = 60`

So, it will take Dionne 60 minutes to fold 210 packing boxes.

Let y be the time it takes Elias to fold 210 packing boxes:

`(120)/(40) = (210)/(x) \\ \\ cross \: multiply \\ \\ \\ 120x = 40(210) \\ \\ x = (40(210))/(120) \\ \\ \\ x = 70`

So, it will take Elias 70 minutes to fold 210 packing boxes.