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Question
at a grocery store, rice costs $1.00 per pound and flour costs $0.50 per pound. the points o represent combinations of pounds of rice and flour that weigh 12 total pounds. the points o represent the combinations of pounds of rice and flour that have a total value of $7.00.
name one combination of whole pounds of rice and flour that totals to 12 pounds.
___ pounds of rice and ___ pounds of fl equal 12 total pounds.
Step1: Define variables
Let $x$ = pounds of rice, $y$ = pounds of flour.
Step2: Set total weight equation
$x + y = 12$
Step3: Pick whole number for $x$
Choose $x=5$ (any whole number 0-12 works)
Step4: Solve for $y$
$y = 12 - 5 = 7$
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5 pounds of rice and 7 pounds of flour equal 12 total pounds.
(Note: Any pair of non-negative whole numbers where their sum is 12 is a valid answer, e.g., 0 and 12, 6 and 6, 12 and 0, etc.)