A Christian relief agency is sending two types of medical supply boxes overseas. The original plan is to send 3 boxes of medicines and 7 boxes of non-medicine supplies worth a total value of $9,000. Shortly before the supplies are shipped, the agency receiving the supplies communicates that they only need 2 boxes of medicines. If a box of non-medicine supplies is worth $300, how many boxes of non-medicine supplies can be sent if only 2 boxes of medicine are included in the shipment

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onyebuchinnaji onyebuchinnaji · Answer 1 · 2021-09-03T18:12:01+02:00

The number of non-medicine that can be sent is approximately 14 boxes.

From the given statement we can form the following equation:

let the worth of a boxes of medicine = x

3x + 7(300) = 9,000

solve for x:

3x + 7(300) = 9,000

3x + 2,100 = 9,000

3x = 9,000 - 2,100

3x = 6,900

[tex]x = \frac{6,900}{3} = 2,300[/tex]

A box of medicine worth $2,300

If only 2 boxes of medicine will be sent, then the number of boxes of non-medicine is calculated as;

let the worth of all the boxes of non-medicine = y

2(2,300) + y = 9,000

4600 + y = 9,000

y = 9,000 - 4600

y = 4,400

Now we solve for the number of boxes of non-medicine as follows:

n(300) = 4,400

[tex]n= \frac{4400}{300} = 14.67 \approx 14 \ boxes \ of \ non-medicine \ can \ be \ sent[/tex]

Thus, the number of non-medicine that can be sent is approximately 14 boxes.

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