SOLUTION: a baker needs between 40lb and 50lb of a flour sugar mixture that contains ten times as much flour as sugar. What are the possible weights of flour the baker can use?

Question 211637: a baker needs between 40lb and 50lb of a flour sugar mixture that contains ten times as much flour as sugar. What are the possible weights of flour the baker can use?
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!

Let x=amount of sugar needed
Then 10x=amount of flour needed
Now we can set up an inequality:
40<=11x<=50 divide each term by 11
40/11<=x<=50/11 now multiply each term by 10x (amount of sugar needed)
400/11<=10x<=500/11 or
36.36<=10x<=45.45
The possible weights of flour the baker can use is greater than or equal to 36.36 lb and less than or equal to 45.45 lb

Hope this helps---ptaylor
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