# 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?

 $10 /oz #### Explanation: Start by describing what we know cost of brand X = 6$/oz
cost of brand Y = 12 $/oz 9oz Ted's = 3oz brand X + 6oz brand Y so 9oz Ted's costs $\left(3 \cdot 6\right) + \left(6 \cdot 12\right)$dollars write this as a formula, (let cost/oz of mixture = T) $9 T = \left(3 \cdot 6\right) + \left(6 \cdot 12\right)$$T = \frac{\left(3 \cdot 6\right) + \left(6 \cdot 12\right)}{9}$$= 10/oz