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Arisa [49]
3 years ago
5

Cal is buying T-shirts and shorts. T-shirts cost $12 and shorts cost $25. He plans on spending no more than $160 and wants to bu

y at least 5 items. Write a system of linear inequalities that represent the situation.
Mathematics
1 answer:
Semenov [28]3 years ago
8 0
12t (that's the $12 for a shirt) + 25s (25 dollars for shorts) < (or equal too) 126
The combination cost for the shirts and shorts has to be less than or equal to $126

t + s > (or equal too) 5

The total number of items has to be greater then or equal too or equal to 5
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As all of the bundles have the same content inside, so assuming that there is x number of Fiction books and y number of Non-fiction books in each bundle.

Let n be the total number of bundles that my team can send.

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Or x=64/n ...(ii)

also, there are 48 Non-Fiction books, so

ny=48 ...(iii)

Or y=48/n ...(iv)

Observing that the numbers x, y, and n are counting numbers and from equations (i) and (iii), n is the common factor of 64 and 48.

The possible common factors of 64 and 48 are,

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So, for 1 bundle the number of Fiction and Non-fictions books are 64 and 48 respectively.

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So, for 2 bundles, the number of Fiction and Non-fictions books are 32 and 24 respectively.

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So, for 16 bundles, the number of Fiction and Non-fictions books are 4 and 3 respectively.

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