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ad-work [718]
3 years ago
13

Cookies are sold singly or in packages of 6 or 18. With this​ packaging, how many ways can you buy 36 ​cookies?

Mathematics
2 answers:
ch4aika [34]3 years ago
7 0
█ Explanation <span>█

The different ways I could buy the cookies include ...

</span><span>✦ 2 eighteen packs 
</span>✦ <span>3 six packs and 1 eighteen pack
</span>✦ 1 eighteen pack and 18 singles
✦ 6 six packs
✦ 1 six pack, 1 eighteen pack and 12 singles
✦ <span>36 singles
</span>✦ <span>5 six packs and 6 singles
</span>✦ 4 six packs and 12 singles
✦ 3 six packs and 18 singles
✦ 2 six packs and 24 singles
✦ 1 six pack and 30 singles

That's a total of 11 ways.

<span>Hope that helps! ★ <span>If you have further questions about this question or need more help, feel free to comment below or leave me a PM. -UnicornFudge aka Nadia </span></span>
shtirl [24]3 years ago
6 0

Answer with Step-by-step explanation:

We know that 6×6=36 and 18×2=36

i.e. 6 pack cookies cannot exceed 6 and 18 pack cookies cannot exceed 2 in order to buy 36 cookies.

Now making combinations:

Buying 6 6 cookie pack and 0 18 cookie pack and 0 single cookies

Buying 5 6 cookie pack and 0 18 cookie pack and 6 single cookies

Buying 4 6 cookie pack and 0 18 cookie pack and  12 single cookies

Buying 3 6 cookie pack and 1 18 cookie pack and 0 single cookies

Buying 3 6 cookie pack and 0 18 cookie pack and 18 single cookies

Buying 2 6 cookie pack and 0 18 cookie pack and 24 single cookies

Buying 2 6 cookie pack and 1 18 cookie pack and 6 single cookies

Buying 1 6 cookie pack and 0 18 cookie pack and 30 single cookies

Buying 1 6 cookie pack and 1 18 cookie pack and 12 single cookies

Buying 0 6 cookie pack and 0 18 cookie pack and 36 single cookies

Buying 0 6 cookie pack and 1 18 cookie pack and 18 single cookies

Buying 0 6 cookie pack and 2 18 cookie pack and 0 single cookies

Hence, the total number of ways we can buy 36 cookies is:

12

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===========================================================

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------------

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