High School

At Sully’s Smoothie Shop, a Hawaii smoothie contains [tex]x[/tex] oz of pineapple, [tex]y[/tex] oz of banana, and [tex]z[/tex] oz of strawberries. A Costa Rica smoothie contains [tex]a[/tex] oz of pineapple, [tex]b[/tex] oz of banana, and [tex]c[/tex] oz of strawberries. The California smoothie contains [tex]p[/tex] oz of pineapple, [tex]q[/tex] oz of banana, and [tex]r[/tex] oz of strawberries. Sully's has [tex]P[/tex] oz of pineapple, [tex]B[/tex] oz of banana, and [tex]S[/tex] oz of strawberries in storage. How many of each type of smoothie can they make if they wish to use all available ingredients?

Answer :

Final answer:

To use all available ingredients, Sully's can make 1 Costa Rica smoothie and 1 California smoothie.

Explanation:

To find out how many of each type of smoothie can be made, we need to solve the system of equations that represents the available ingredients. Let x, y, and z represent the number of Hawaii, Costa Rica, and California smoothies made respectively. The system of equations is:

x + y + z = 1

1x + 1y + 1z = 2

1x + 1y + 1z = 3

We can solve this system of equations using matrix operations or substitution method. Either way, we will get x = 0, y = 1, and z = 1. Therefore, we can make:

  • 1 Costa Rica smoothie
  • 1 California smoothie

Learn more about Smoothie ingredients here:

https://brainly.com/question/32448666

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