Question

2021-08-04

Let x be the amount of birdseed and yy be the amount of sunflower seeds, both in pounds.

The mixture must be 50 pounds:

\(\displaystyle{x}+{y}={50}{\left({1}\right)}\)

In terms of cost,

\(\displaystyle{1.25}{x}+{0.75}{y}={1}{\left({50}\right)}\)

or

\(\displaystyle{1.25}{x}+{0.75}{y}={50}{\left({2}\right)}\)

Solve for yy using (1) to obtain (3):

\(\displaystyle{y}={50}−{x}{\left({3}\right)}\)

Substitute (3) to (2) and solve for x:

\(\displaystyle{1.25}{x}+{0.75}{\left({50}−{x}\right)}={50}\)

\(\displaystyle{1.25}{x}+{37.5}−{0.75}{x}={50}\)

\(\displaystyle{0.5}{x}={12.5}\)

\(\displaystyle{x}={25}\)

Solve for yy using (3):

\(\displaystyle{y}={50}−{25}\)

\(\displaystyle{y}={25}\)

So, the owner should use 25 pounds of birdseed and 25 pounds of sunflower seeds.

asked 2020-12-16

The owner of a pet food store wants to mix birdseed that costs $1.25 per pound with sunflower seed that cost $0.75 per pound to make 50 pounds of a mixture that costs $1.00 per pound. How many pounds of each type of seed should he use?

asked 2021-02-25

A. An equation that can be used to find x, the amount of money each person will pay is \(x+3=7.5\) The solution to the equation is 4.5, so each person will pay $4.50.

B. An equation that can be used to find x, the amount of money each person will pay is \(x+3=7.5\). The solution to the equation is 10.5, so each person will pay $10.50.

C. An equation that can be used to find x, the amount of money each person will pay is \(x\cdot3=7.5\). The solution to the equation is 2.5, so each person will pay $2.50.

D. B. An equation that can be used to find x, the amount of money each person will pay is \(x\cdot3=7.5\). The solution to the equation is 22.5, so each person will pay $22.50.

asked 2021-01-19

\(\displaystyle{a}.{1}{\frac{{{1}}}{{{2}}}}\cup{s}\)

\(\displaystyle{b}.{\frac{{{2}}}{{{3}}}}\cup\)

\(\displaystyle{c}.{\frac{{{3}}}{{{5}}}}\cup\)

\(\displaystyle{d}.{\frac{{{1}}}{{{9}}}}\cup\)

asked 2021-08-09

A restaurant mixes sugar and cinnamon together to sprinkle on desserts. The cost of sugar is $1.10 kg and the cost of cinnamon is $3.60 kg
What mass of each is needed to make 50 kg of mixture that costs $1.85 kg. Solve using elimination.