We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website.
Please click on "Accept cookies" if you agree to the setting of cookies. Cookies that do not require consent remain unaffected by this, see
cookie policy and privacy policy.
DECLINE COOKIES

Every sack of sugar has the same weight. Every sack of flour has the same weight, but not necessarily the same as the weight of the sacks of sugar. Suppose that three sacks of sugar together with four sacks of flour weighs no more than 50 pounds, and that the weight of two sacks of flour is no more than 13 pounds more than the weight of three sacks of sugar. What is the largest possible weight (in pounds) of a sack of flour?

gueesstt Apr 2, 2018

#1**+1 **

Let the weight of a sack of sugar = x

Let the weight of a sack of flour = y

We have these inequalities

3x + 4y ≤ 50

2y - 3x ≤ 13

And we wish to maximize y

Look at the graph, here :

https://www.desmos.com/calculator/aiwomrcer1

The value that maximizes y, the weight of a sack of flour, is 10.5 lbs

CPhill Apr 2, 2018