Answer:
$14 per lb
Step-by-step explanation:
Given:
- Brand Y = $18 / lb
- Special Blend = $17 / lb
Let x be the price per lb of brand X coffee
3 lbs of brand X coffee + 9 lb of brand Y coffee = 12 lbs of special blend
⇒ 3x + 9(18) = 12(17)
⇒ 3x + 162 = 204
⇒ 3x = 42
⇒ x = 14
Therefore, brand X costs $14 per lb
Lets set the two numbers as 'a' and 'b'
Now let us set up some equations based on the information:
- sum of two numbers 49 --> a + b = 49
- difference of the two numbers is 15 --> a -b =15
Equations
a + b = 49 -- equation 1
a - b = 15 -- equation 2
Solve:
(equation 1) + (equation 2)
2a = 64
a = 32 -- equation 3
(equation 3)'s value of a into (equation 2)
32 - b = 15
b = 17
The products of 'a' and 'b' is 544
Hope that helps!
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Helpful source:
https://percent-calc.com/what-is-9-of-15000
Answer:
Step-by-step explanation:
A line passes through the point (–6, –2), and its y-intercept is (0, 1). What is the equation of the line that is perpendicular to this line and passes through the point (2, 3)?
