1 and 1/2x+3/4x=5/8
combine x's
1 and 1/2x=4/4x+2/4x=6/4x
6/4x+3/4x=5/8=9/4x
9/4x=5/8
multiply both sides by 8
18x=5
x=5/18
x=5/18 or aprox 0.277777777777
Answer:3
Step-by-step explanation:
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Irina:
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Irina takes 7 hours to paint the room.
In 1 hour, Irina can paint 1/7 of the room.
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Paulo:
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Paulo takes 6 hours to paint the room.
In 1 hour, Paulo can paint 1/6 of the room.
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Both paint together:
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In one hour they can paint (1/7 + 1/6) of the room.
1/7 + 1/6 = 13/42
So, it takes 13/42 of the room takes 1 hour.
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Find the number of hours
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13/42 of the room = 1 hour
Whole room = 1 ÷ 13/42
Whole room = 1 x 42/13
Whole room = 3.23 hours
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Answer: They need 3.23 hours to paint the room.
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