All sacks of sugar have the same weight. All sacks of flour also have the same weight, but not necessarily the same as the weight of the sacks of sugar. Suppose that two sacks of sugar together with three sacks of flour weigh no more than $40$ pounds, and that the weight of a sack of flour is no more than $5$ pounds more than the weight of two sacks of sugar. What is the largest possible weight (in pounds) of a sack of flour?

Question

Kymani Strickland

Mathematics

10 December, 02:42

All sacks of sugar have the same weight. All sacks of flour also have the same weight, but not necessarily the same as the weight of the sacks of sugar. Suppose that two sacks of sugar together with three sacks of flour weigh no more than $40$ pounds, and that the weight of a sack of flour is no more than $5$ pounds more than the weight of two sacks of sugar. What is the largest possible weight (in pounds) of a sack of flour?

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Answers (2)

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Adrienne · Answer 1

Sugar: x pounds

flour: 2x + 5 pounds

2x + 3 (2x + 5) = 40

2x + 6x + 15 = 40

8x = 25

x = 3.125

-> a sack of flour is 3.125 + 5 = 8.125 pounds

I hope it's coorect

Amiyah Petersen · Answer 2

sugar: x pounds

flour: 2x + 5 pounds

2x + 3 (2x + 5) = 40

2x + 6x + 15 = 40

8x = 25

x = 3.125

-> a sack of flour is 3.125 + 5 = 8.125 pounds