Mathematics, 01.08.2019 11:30 oasmith2005

Agrocer wishes to blend two different coffee brands because he wants to make a blend of 480 pounds to sell at $2.68 a pound. if he uses a brand of coffee worth $2.50 a pound with another brand worth $2.80 a pound, how many pounds of each does he use?

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Answer from: jessecabrown1

192 pounds of $2.5 brand

288 pounds of $2.8 brand

Step-by-step explanation:

From the information we can write an expression that relates the two brands the total pounds of coffee the grocer wants to see. Let x be pounds of the coffee brand 1 and y be pounds of the coffee brand 2.Equation 1:

480=x+y

We know that the price of will be equation 2:

480*2.68=2.5*x+2.8*y

Two equations and two unknowns we can solve for x and y:

x=480-y

Substitute into the second equation:

480*2.68=2.5*(480-y)+2.8*y

1286.4=1200-2.5*y+2.8*y

y=86.4/0.3=288

Therefore he uses 288 pounds of brand two at $2.80 and 480-288=192 pounds of brand 1 at $2.50

Answer from: hmjjones

He uses $\boxed{192{\text{ pounds}}}$ of brand 1 at cost $\$ 2.50$ and he uses $\boxed{288{\text{ pounds}}}$ of brand 2 at cost $\$ 2.80.$

Further explanation:

Given:

The cost of first brand is $\$ 2.50.$

The cost of second brand is $\$ 2.80.$

Explanation:

The grocer uses a brand of coffee worth $\$2.50$ a pound with another brand worth $\$2.80$ a pound.

Let the amount of first brand coffee he blend is $\text{x}$ .

Let the amount of second brand coffee he blend is $\text{y}$ .

The total amount of coffee is 480 pounds.

$\begin{aligned}x + y &= 480\\ x&= 480 - y\\\end{aligned}$

The price of the blended coffee is $\$ 2.68.$

The equation from the price of the coffee can be obtained as follows,

$\begin{aligned}2.5 \times x + 2.8 \times y &= 2.68 \times \left( {x + y} \right)\\2.5x + 2.8y &= 2.68 \times 480\\2.5x + 2.8y &= 1286.4\\\end{aligned}$

Solve the equation to obtain the value of $\text{y}$ .

$\begin{aligned}2.5 \times \left( {480 - y} \right) + 2.8y &= 1286.4\\1200 - 2.5y + 2.8y &= 1286.4\\0.3y &= 86.4\\y&= \frac{{86.4}}{{0.3}}\\y&= 288\\\end{aligned}$

The value of $\text{x}$ can be obtained as follows,

$\begin{aligned}x&= 480 - 288\\&= 192\\\end{aligned}$

He uses $\boxed{192{\text{ pounds}}}$ of brand 1 at cost $\$ 2.50$ and he uses $\boxed{288{\text{ pounds}}}$ of brand 2 at cost $\$ 2.80.$

Learn more:

Learn more about inverse of the function . Learn more about equation of circle . Learn more about range and domain of the function

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear equation

Keywords: coffee, grocer, wishes, blend, different, coffee brands, 480 pounds, sell, $2.68, brand worth, brewed, directions, pounds, coffee beans, yields, kilogram, kg, required, produced

Answer from: Quest

50 min

step-by-step explanation:

they will be decreasing both their times in half

60 / 2 = 30

40/2 = 20

30 + 20 = 50

Answer from: Quest

In all honesty, there really is no “work” per say to show. mainly it’s just using the process of elimination. the question is asking which domain(s) would be the most appropriate for the function c(n). n is the number of observed vehicles so right away, 1, 2, and 3 can be eliminated.why? 1, 2 start in the negatives and therefore it is impossible to observe negative cars. so, #4 would be the best answer to the given problem.

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Agrocer wishes to blend two different coffee brands because he wants to make a blend of 480 pounds t...