John is printing orange and green forms. He notice that 3 orange forms fit on a page, and 5 green forms fit on a page. If John wants to print the exact same number of orange and green forms. What is the minimum number of each form that he could print?

Question

Mathematics

Hazel Fletcher

16 January, 16:22

John is printing orange and green forms. He notice that 3 orange forms fit on a page, and 5 green forms fit on a page. If John wants to print the exact same number of orange and green forms. What is the minimum number of each form that he could print?

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Answers (1)

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Kathleen Weber · Answer 1

Answer: 15

Step-by-step explanation:

The condition of the question is, the number of orange forms taken must be equal to the number of green forms taken.

Let us assume that he takes 10 orange and 10 green forms.

10 green forms can be fit exactly on 2 pages at 5 forms/page. But, 10 orange forms can't be fit exactly on any number of pages.

Because, 3 orange forms can be fit exactly on a page. In 10 orange forms, 9 forms can be fit exactly on 3 pages and 1 form will be remaining.

To get the number of forms in orange and green which can be fit exactly on some number of pages, we have to find L. C. M of (3, 5). That is 15.

15 orange forms can be fit exactly on 5 pages at 3 forms/page.

15 green forms can be fit exactly on 3 pages at 5 forms/page.

Hence, the smallest number of each form could be printed is 15.