Sergei runs a bakery. He needs at least 175
Answers
Complete Question :- Sergei runs a bakery. He needs at least 175 kilograms of flour in total to complete the holiday orders he's received. He only has 34 kilograms of flour, so he needs to buy more. The flour he likes comes in bags that each contain 23 kilograms of flour. He wants to buy the smallest number of bags as possible and get the amount of flour he needs. Let F represent the number of bags of flour that Sergei buys.
1) Which inequality describes this scenario ?.
2) Find the value of F ? .
Solution :-
Given that,
→ Total flour needed to complete the holiday order = at least 175 or , ≥ 175 kg .
→ Flour sergei has = 34 kg.
Now, given that, let see buys F bags of 23kg/bag flour.
So,
→ weight of 1 bag = 23 kg .
→ Total weight of F bags = 23 * F = 23F kg.
A/q,
→ initial weight he has + total weight of F bags ≥ 175 .
→ 34 + 23F ≥ 175 . (Ans. 1)
→ 23F ≥ 175 - 34
→ 23F ≥ 141
dividing both sides by 23,
→ F ≥ 6.130
Therefore,
→ Least value of Possible bags = F = 7 (Ans. 2)
Hence, sergei needs to buy 7 bags of flour.
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