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Anna35 [415]
3 years ago
11

The length of time, y hours, it takes to put a jigsaw puzzle together is inversely proportional to the number of children, x, wo

rking on it. It takes 16 children 6 hours to put the jigsaw puzzle together. How many children are needed to put the same jigsaw puzzle together in 4 hours?
Mathematics
1 answer:
andrew11 [14]3 years ago
5 0

Answer:

<em>24 children</em>

Step-by-step explanation:

If the length of time, y hours, it takes to put a jigsaw puzzle together is inversely proportional to the number of children, x, this is represented as;

y  \alpha \frac{1}{x}\\y =\frac{k}{x}

k is the constant of proportionality

If it takes 16 children 6 hours to put the jigsaw puzzle together, this means at x = 16, y = 6

Substitute:

6 = k/16

k = 6*16

k = 96

W are to find number of children needed to put the same jigsaw puzzle together in 4 hours, this is done by substituting k = 96 and y = 4 into the expression y = k/x

y = 96/4

y = 24

<em>Hence it will take 24 children to put the same jigsaw puzzle together in 4 hours</em>

<em></em>

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