Question

Sergei runs a bakery. He needs at least 175175175 kilograms of flour in total to complete the holiday orders he's received. He only has 343434 kilograms of flour, so he needs to buy more. The flour he likes comes in bags that each contain 232323 kilograms of flour. He wants to buy the smallest number of bags as possible and get the amount of flour he needs. Let FFF represent the number of bags of flour that Sergei buys. 1) Which inequality describes this scenario?

Answer 1

Answer:
`34+23F\geq175`

He needs to buy 7 bags of flour.

Explanation:

Given, Sergei has 34 kilograms of flour.

If he buy more flour, then he need to purchase it in bags of 23 kilograms.

Let F be the number of bags of flour that Sergei buys.

So total amount of flour after buying F bags = 34+23F

But He needs at least 175 kilograms of flour .

So,
`34+23F\geq175`

`\Rightarrow\ 23F\geq175-34\\\\\Rightarrow\ 23F\geq141`

Divide both sides by 23 , we get

`F\geq 6.130` i.e. smallest value of F = 7.

i.e. Required inequality:
`34+23F\geq175`

He needs to buy 7 bags of flour.