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3 years ago

13

Ritz can eat 8 apples in 15 minutes. How long does it take Ritz to eat 16 apples at the same rate?

1 answer:

natka813 [3]3 years ago

5 0

The rate Ritz can eat apples is 8/15 apples per minute.

Set the rate (which is measured apples / minutes) equal to 16 apples / t minutes.

(8/15) = (16/t)

Cross multiply.

16*15 = 8t

t = 20

The answer is 30 minutes. You could solve the problem with basic reasoning as well. 16 is twice the number of apples as 8, so the time it takes to eat them will be double 15 minutes.

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kodGreya [7K]

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3 years ago

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vodomira [7]

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2 years ago

Garrett and Carter went to the movies last weekend. Together they bought 2 drinks and 2 popcorns. They spent a total of $12.50.

-BARSIC- [3]

The cost of one drink is $2.50 and cost of one popcorn is $3.75

<u><em>Explanation</em></u>

Suppose, the cost of one drink is $x$ dollar and cost of one popcorn is $y$ dollar.

Given that, total cost for 2 drinks and 2 popcorns is $12.50 and total cost for 6 drinks and 5 popcorns is $33.75

So, the system of equations will be......

$2x+2y=12.50 ..................................... (1)\\ \\ 6x+5y= 33.75 ..................................... (2)$

Multiplying equation (1) by -3 , we will get.....

$-3(2x+2y)=-3(12.50)\\ \\ -6x-6y=-37.50 ..................................... (3)$

Now, adding equation (2) and equation (3) , we will get ............

$5y-6y=33.75-37.50\\ \\ -y=-3.75\\ \\ y=3.75$

Plugging this $y=3.75$ into equation (1) ......

$2x+2(3.75)=12.50\\ \\ 2x+7.50=12.50\\ \\ 2x=12.50-7.50=5\\ \\ x=\frac{5}{2}=2.50$

So, the cost of one drink is $2.50 and cost of one popcorn is $3.75

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3 years ago

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zvonat [6]

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3 years ago

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