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Larry has $4$-cent stamps and $9$-cent stamps, which he can combine to produce various amounts of postage. For example, he can make $40$ cents by using four $9$-cent stamps and a $4$-cent stamp, or by using ten $4$-cent stamps. However, there are some amounts of postage he can't make exactly, such as $10$ cents. What is the largest number of cents that Larry cannot make exactly from a combination of $4$- and/or $9$-cent stamps

Sagot :

The largest number of cents that Larry cannot make exactly from a combination of $4 and $9cent stamps is 36.

How to get the value?

It should be noted that the information given simply wants us to find the common multiple of both 4 and 9. This will be:

4 = 4, 8, 12, 16, 20, 24, 28, 32, 36,

9 = 9, 18, 27, and 36

Therefore, the largest number of cents that Larry cannot make exactly from a combination of $4 and $9cent stamps is 36.

Learn more about multiples on:

brainly.com/question/251701

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Answer:

23

Explanation:

in order to make 23 cents, he would have to use zero, one, or two 9-cent stamps, which would contribute 0, 9, or 18 cents to the total postage (three 9-cent stamps would go over 23 cents). In each of those cases, the amount to be made up by 4-cent stamps would be either 23, 14, or 5 cents, none of which is a multiple of 4.