Kate purchased a box of 36 pencils to donate to Mr. Brown's class, but not all pencils were used. The ratio of pencils that were used to the pencils that did not use is 7 to 5. How many pencils were left from the box of pencils Kate bought?

Question

Karsyn Noble

Mathematics

16 March, 16:02

Kate purchased a box of 36 pencils to donate to Mr. Brown's class, but not all pencils were used. The ratio of pencils that were used to the pencils that did not use is 7 to 5. How many pencils were left from the box of pencils Kate bought?

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Answers (2)

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Claire King · Answer 1

15

Step-by-step explanation:

Total number of pencils donated = 36.

Ratio of pencils used to pencil unused is 7:5.

Let, number of pencils used = 7X and pencils unused = 5X.

Now,

Summation of Pencils used and Pencils unused should come total number of pencils donated.

So,

7X + 5X = 36.

12X = 36.

X = 3.

Thus,

number of pencils unused = 5X = 5*3 = 15.

So, 15 pencils remain unused.

Dallas Rice · Answer 2

15

Step-by-step explanation:

The ratio of pencils that were used to the pencils that did not use is 7 to 5.

So, let the number of pencils that were used = 7x and the number of pencils that did nor use = 5x.

Hence, total number of pencils that Kate purchased is

7x + 5x = 36

⇒ 12x = 36

⇒ x = 3

Therefore, the number of pencils that left in the box was 5x = 15. (Answer)