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docker41 [41]
3 years ago
7

A store sells toys in bulk. It sells wooden blocks for $5 a pound and plastic bricks for $10

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
5 0

9514 1404 393

Answer:

  • 6 # plastic bricks
  • 4 # wooden blocks

Step-by-step explanation:

Let p represent the number of pounds of plastic bricks in the mix. Then the number of pounds of wooden blocks is (10-p), and the total cost is ...

  10p +5(10-p) = 80

  5p = 30 . . . . . . . . . subtract 50

  p = 6 . . . . divide by 5; there are 6 pounds of plastic bricks in the mix

4 pounds of wooden blocks and 6 pounds of plastic bricks should be used to make a 10-lb mix worth $80.

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<em><u>Solution:</u></em>

Given that 3 workers can paint a room in 2 hours

To find: Time taken for 4 workers to paint the same room

Assume the time needed to paint the room is inversely proportional to the number of worker

time $ \propto \frac{1}{\text { number of workers }}\\\\time =k \times \frac{1}{\text { number of workers }}

Where, "k" is the constant of proportionality

<em><u>3 workers can paint a room in 2 hours</u></em>

Substitute number of workers = 3 and time = 2 hours

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