Answer:
320 pounds of 55% raisins trail mix
480 pounds of 30% raisins trail mix
Step-by-step explanation:
Sorry, I can’t write how I got the answer. We just did it in class and decided to help... (Btw, sorry if I’m too late)
The store manager mixed 320 pounds of 55% raisins trail mix and 480 pounds of 30% raisins trail mix.
Given that,
A store manager combines a trail mix that is 30% raisins with a trail mix that is 55% raisins.
He makes 800lb of trail mix that is 40% raisins.
We have to determine,
How many pounds of each trail mix does the manager use?
According to the question,
Let, x = pounds of trail mix 30% raisins
y = pounds of trail mix 55% raisins
The distributor wants to make 800 pounds of trail mix, thus:
x + y = 800
The mix must be 40% raisings as a combination of x and y, thus:
30x + 55y = 40 × 800
30x + 55y = 32,000
Divided by 5 the equation
6x + 11y = 6400
Solving both the equation
[tex]x + y = 800\\\\x = 800 -y\\[/tex]
Substitute the value of x in equation 2,
[tex]6x + 11y = 6400\\\\6 (800-y) + 11y = 6400\\\\4800 - 6y +11y = 6400\\\\5y = 6400-4800\\\\5y = 1600\\\\y = \dfarc{1600}{5}\\\\y = 320[/tex]
Substitute the value of x in equation 1
[tex]x + y = 800\\\\x + - 800 -y\\\\x = 800-320\\\\x = 480[/tex]
Hence, The store manager mixed 320 pounds of 55% raisins trail mix and 480 pounds of 30% raisins trail mix.
For more details refer to the link;
https://brainly.com/question/3228027
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