Suppose you're the owner of a smoothie shop and that you have three fruits available to make smoothies: bananas, blueberries, and strawberries. You sell three types of smoothies, and each type requires a different amount of each fruit. See below the ingredient list for each smoothie: Classic: 2 bananas, 3 cups of blueberries, and 1 cup of strawberries Blue: 3 cups of blueberries and 3 cups of strawberries Strawnana: 1 bananas and 2 cups of strawberries At the end of the day you have used the following ingredients: 15 bananas, 30 cups of blueberries and 36 cups of strawberries. To figure out how many smoothies of each type were sold during the day, you set up the linear system: [ What is the entry a21 in the matrix? 0 a21 a22 1 a32 2 a11 a21 = a 13 0 integer X1 X3 = [15] 30 36 Using the system above, you determined that you sold 4 Classic smoothies. How many Blue smoothies did you sell? Number of Blue smoothies = integer ?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Suppose you're the owner of a smoothie shop and that you have three fruits available to make smoothies:
bananas, blueberries, and strawberries. You sell three types of smoothies, and each type requires a
different amount of each fruit. See below the ingredient list for each smoothie:
Classic: 2 bananas, 3 cups of blueberries, and 1 cup of strawberries
Blue: 3 cups of blueberries and 3 cups of strawberries
Strawnana: 1 bananas and 2 cups of strawberries
At the end of the day you have used the following ingredients: 15 bananas, 30 cups of blueberries and 36
cups of strawberries.
To figure out how many smoothies of each type were sold during the day, you set up the linear system:
[
What is the entry a21 in the matrix?
0
a21
a22
1 a32 2
a11
a21 =
a 13
0
integer
X1
X3
=
[15]
30
36
Using the system above, you determined that you sold 4 Classic smoothies. How many Blue smoothies
did you sell?
Number of Blue smoothies = integer
?
Transcribed Image Text:Suppose you're the owner of a smoothie shop and that you have three fruits available to make smoothies: bananas, blueberries, and strawberries. You sell three types of smoothies, and each type requires a different amount of each fruit. See below the ingredient list for each smoothie: Classic: 2 bananas, 3 cups of blueberries, and 1 cup of strawberries Blue: 3 cups of blueberries and 3 cups of strawberries Strawnana: 1 bananas and 2 cups of strawberries At the end of the day you have used the following ingredients: 15 bananas, 30 cups of blueberries and 36 cups of strawberries. To figure out how many smoothies of each type were sold during the day, you set up the linear system: [ What is the entry a21 in the matrix? 0 a21 a22 1 a32 2 a11 a21 = a 13 0 integer X1 X3 = [15] 30 36 Using the system above, you determined that you sold 4 Classic smoothies. How many Blue smoothies did you sell? Number of Blue smoothies = integer ?
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