9 oz of Ted's special coffee blend was made by combining 3 oz of brand X coffee which costs $6/oz with 6 oz of brand Y coffee which costs $12/oz. What is the cost per oz of the mixture?

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Answer 1 · 2018-07-06T01:09:56

# $10# /oz

Start by describing what we know

cost of brand X = 6 $/oz
cost of brand Y = 12 $/oz
9oz Ted's = 3oz brand X + 6oz brand Y

so 9oz Ted's costs #(3*6) + (6*12)# dollars

write this as a formula, (let cost/oz of mixture = T)

#9T = (3*6) + (6*12)#

#T = ((3*6) + (6*12))/9#

#= 10# $/oz