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Phoebe runs a T-shirt printing business. She ships the T-shirts to retailers in boxes of 200. She has two automated printing machines that can
print designs on T-shirts. One machine can print 200 T-shirts in 50 minutes. The other machine can print 200 T-shirts in 150 minutes.
If the two machines work at the same time, they can print 200 T-shirts in
minutes.

Respuesta :

Answer:

They will work together and print 200 T-shirts in 37.5 minutes.

Step-by-step explanation:

One machine can print 200 T-shirts in 50 minutes.

So, in one minute that machine can print [tex]\frac{200}{50} = 4[/tex] T-shirts.

Again, the other machine can print 200 T-shirts in 150 minutes.

So, in one minute the other machine can print [tex]\frac{200}{150} = 1.33[/tex] T-shirts.

Therefore, working together for one minute both the machines will print (4 + 1.33) = 5.33 number of T-shirts.

Hence, they will work together and print 200 T-shirts in [tex]\frac{200}{5.33} = 37.5[/tex] minutes. (Answer)

jpkeener22
Answer:
37.5 Minutes
Step-by-step explanation:

1. I set up the fourmula: 1/50 + 1/150 = 1/x

2. I rewrote the fractions with a denominator which was 750 in this case: 50/750 + 150/750 = 1/x

3. I added the numerators: 200/750 = 1/x

4. I took the reciprocal of both sides of the equation: 750/200 = x/1

5. I wrote the result as a decimal number: 3.75 ≈ 37.5 minutes.

So, they can print 200 T-shirts in 37.5 minutes.

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