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alina1380 [7]
3 years ago
13

Henry is buying school supplies for the start of the school year. For every 3 pencils he buys 2 pens. If Henry buys 21 pencils,

how many total pencils and pens did Henry purchase?
Mathematics
1 answer:
Oksi-84 [34.3K]3 years ago
3 0

Remark

The total number of items bought is represented by 2 + 3 = 5. So for pencils to pencils + pens his ratio of pencils to total is  3/5

Equation

3/5 = 21 / x   Cross multiply

3x = 5 * 21

3x = 105

x = 105/3

x = 35

Conclusion

The total number of pens and pencils that he bought was 35 <<< Answer.

Note

He bought 35 - 21 = 14 pens. That should be 2/5 of the total.

Check

2/5 * 35 = 70/5 = 14 So it checks.


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