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Adsilla and Carlos volunteer to fill gift boxes for soldiers serving overseas. Both work at a constant rate. They work together for 4 hours and fill 108 boxes. Adsila fills 11 boxes every hour. How many boxes does carlos fill every hour?

Respuesta :

MrRoyal

Answer:

[tex]Carlos = 16[/tex] per hour

Step-by-step explanation:

Given

[tex]Total = 108\ boxes[/tex]

[tex]Hours = 4[/tex]

[tex]Adsila = 11\ boxes\ per\ hour[/tex]

Required

Determine the unit rate of Carlos

First, we need to calculate the total boxes filled by Adsila.

If Adsila gets 11 in 1 hour.

Then Adsila get 4 * 11 in 4 hours

[tex]4 * 11 = 44\ boxes[/tex]

Next, we calculate number of boxes left.

[tex]Left = 108 - 44[/tex]

[tex]Left = 64[/tex]

This is yhe number of boxes filled by Carlos.

Recall that they worked for 4 hours each.

Hence:

[tex]Carlos = \frac{64}{4}[/tex]

[tex]Carlos = 16[/tex]

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