You can extend the techniques you have learned for solving
systems of two equations to solve systems of three equations.
Students are baking shortbread, croissants, and pound cakes.
• One group of students used a total of 3,525 grams of flour to make
5 batches of shortbread, 4 pound cakes, and 2 batches of croissants.
• Another group of students used 1,020 grams of flour to make one
batch each of shortbread and croissants and one pound cake.
• There is the same amount of flour in 4 pound cakes as there is
in 2 batches of croissants.
1. Let s = the amount of flour in a batch of shortbread, let c = the
amount of flour in a batch of croissants, and let p = the amount
of flour in a pound cake. Write an equation for each of the
3 statements above.
2. Multiply one equation, then add or subtract it with another
equation you wrote in Exercise 1 to eliminate the variable p.
3. Use the third equation and your result from Exercise 2 to write a
system of two equations with the variables p and c. Solve your system
and find the values for p and c.
4. What is the value of s? Explain what you did.
PLEASE HELP GIVE FULL DETAIL I TRIED BUT I WAS WRONG HE CHECKED IT! HELp PLEASE!!
what did you try? Show some work, >wink wink<
5s+4p+2c = 3525
s+p+c = 1020
4p = 2c
It is clear that c = 2p, so use that
5s + 4p + 4p = 3525
s+p+2p = 1020
Combine terms to get
5s+8p = 3525
s+3p = 1020
Now solve that in your usual way.