SOLUTION: A grocery store offers a cheese sampler that includes a pepper cheddar cheese that costs $17 per kilogram and Pennsylvania Jack that costs $8 per kilogram. How many kilograms of ea

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Question 1179835: A grocery store offers a cheese sampler that includes a pepper cheddar cheese that costs $17 per kilogram and Pennsylvania Jack that costs $8 per kilogram. How many kilograms of each were used to make a 6-kilogram mixture that costs $11.75 per kilogram?
Found 2 solutions by mananth, josgarithmetic:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!

pepper cheddar cheese costs $17 per kilogram ---- x kg
Pennsylvania Jack costs $8 per kilogram. -------- (6-x) kg
Total 6 kg------------11.75
17x+8(6-x) = 6*11.75
17x +48 -8x = 70.5
9x = 22.5
x=2.5 kg
pepper cheddar cheese = 2.5 kg
Pennsylvania Jack = 3.5 kg

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
                         PRICE          MASS        COST

Pepper Cheddar            17              w         17w

Pennsylvania Jack          8             6-w        8(6-w)

Combination the Two       11.75          6         11.75*6

Solve for w, and evaluate 6-w:
17w%2B8%286-w%29=11.75%2A6
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