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Savatey [412]
3 years ago
7

Two tailors, Valentina and Laura, sit down to do some embroidery. Valentina can embroider 2 shirts per hour, and Laura can get t

hrough 3 shirts per hour. In addition, the tailors had previously finished some shirts. Valentina has already completed 15 shirts, and Laura has completed 11 shirts. Valentina and Laura decide to take a break when they have finished the same total number of shirts. How many shirts, in total, will each tailor have finished? How long will that take?
Mathematics
1 answer:
mina [271]3 years ago
6 0

Answer:

Valentina and Laura finished the same total number of shirts in 4 hours.

Total number of shirts finished by Valentina =23

Total number of shirts finished by Laura =23

Step-by-step explanation:

Suppose that Valentina and Laura finished the same total number of shirts in t hours.

Valentina can embroider 2 shirts per hour and Valentina has already completed 15 shirts.

Total number of shirts finished by Valentina =2t+15

Laura can get through 3 shirts per hour and Laura has completed 11 shirts.

Total number of shirts finished by Laura =3t+11

Therefore,

2t+15=3t+11\\3t-2t=15-11\\t=4

So,

Valentina and Laura finished the same total number of shirts in 4 hours.

Total number of shirts finished by Valentina =2(4)+15=8+15=23

Total number of shirts finished by Laura =3(4)+11=12+11=23

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