Tomas is making trail mix using granola and walnuts. He can spend a total of $12 on the ingredients. He buys 3 pounds of granola that costs $2.00 per pound. The walnuts cost $6 per pound. He uses the equation to represent the total cost, where x represents the number of pounds of granola and y represents the number of pounds of walnuts. He solves the equation for y, the number of pounds of walnuts he can buy.
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Answer:
x + 3y ≤ 6
1 pound of walnuts he can buy
Step-by-step explanation:
the number of pounds of granola = x
granola costs $2.00 per pound
granola total cost = 2x $
number of pounds of walnuts = y
The walnuts cost $6 per pound
walnuts total cost = 6y $
Total Cost = 2x + 6y
spend a total of $12 on the ingredients
=> 2x + 6y ≤ 12
=> x + 3y ≤ 6
x = 3
=> 3 + 3y ≤ 6
=> 3y ≤ 3
=> y ≤ 1
=> the number of pounds of walnuts he can buy = 1
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