Question

William can eat 100 peanuts in half an hour, and Milton can eat half as many in twice the time. How many peanuts can both boys eat in 15 minutes

Answer 1

15 minutes=15/60=1/4

so William can eat 100×1/4=25 nutts

and Milton can eat 200×1/4=50 nutts

{short but sweet}

Answer 2

$62 \frac{1}{2}$ peanuts can be eaten by both boys in 15 minutes

Solution:

Given that,

William can eat 100 peanuts in half an hour

half an hour = 30 minutes

Which means,

30 minutes = 100 peanuts

Find how much william can eat in 15 minute

30 minutes = 100 peanuts

15 minutes = x peanuts

This forms a proportion and we can solve the sum by cross mutliplying

$30 \times x = 15 \times 100\\\\x = 50$

Thus william can eat 50 peanuts in 15 minutes

Milton can eat half as many in twice the time

William can eat 100 peanuts in 30 minutes

So, milton can eat half of 100 peanuts in twice the 30 minutes

50 peanuts = 60 minutes

x peanuts = 15 minutes

This forms a proportion and we can solve the sum by cross mutliplying

$50 \times 15 = 60 \times x\\\\x = 12.5$

Thus, together they can eat ,

50 + 12.5 = 62.5 peanuts in 15 minutes

Thus, $62 \frac{1}{2}$ peanuts can be eaten by both boys in 15 minutes

Learn more about this topic

One boy can eat 100 chocolates in half a minute, and another can eat half as many in twice the length of time. how many chocolates can both boys eat in 15 seconds?

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