Kimberly and Ashley make wedding centerpieces. Kimberly can make 9 wedding centerpieces in 4 hours and
Ashely can make 2 wedding centerpieces in 1 hour.
Part A
Write an equation that can be used to find the number of hours, t, it takes Kimberly and Ashley to make 51
wedding centerpieces together.
Part B
Find the number of hours, t, it takes Kimberly and Ashley to make 51 wedding centerpieces together.
hours

Question

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Respuesta :

finleycarsen finleycarsen · Answer 1 · 2024-01-14T06:32:20+01:00

Answer:

Part A: (17/4)x = 51

Part B: 12 hours

Step-by-step explanation:

Part A:

First, let's find both Kimberly's and Ashley's rates:

(9 centerpieces) / (4 hours) = 9/4 centerpieces/hour

(2 centerpieces) / (1 hour) = 2 centerpieces/hour

Now, let's set up an equation to represent the number of hours it will take to make 51 wedding centerpieces. Let the number of hours be x.

(9/4 centerpieces/hour)x + (2 centerpieces/hour)x = 51 centerpieces

(9/4 + 2)x = 51

(17/4)x = 51

So the equation is (17/4)x = 51!

Part B:

Now, let's use the equation we found in the previous part to calculate how many hours it will take both Kimberly and Ashley to make 51 centerpieces.

First, let's multiply both sides by 4 to simplify.

((17/4)x) × 4 = (51) × 4

17x = 204

Now, let's divide both sides by 17 to get x by itself.

(17x)/17 = (204)/17

x = 12 hours

So the answer is 12 hours!