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Answer:
Number of Sports drinks purchased is equal to 8
Step-by-step explanation:
Complete Question
April bought some sports drinks and slices of pizza for her friends. She bought 3 more sports drinks than slices of pizza. If her total order was 21.25, how many sports drinks did she purchase? one slice of pizza cost 2.25 and one sport drink cost 1.25
Solution -
Let the total number of slices of pizza's purchased be [tex]X[/tex]
Then the total number of sports drinks purchased would be [tex]X + 3[/tex]
Given -
Price of one slice of pizza [tex]= 2.25[/tex] dollars
Price of one sports drinks [tex]= 1.25[/tex] dollars
The total cost of [tex]X[/tex] slices of pizza and [tex]X + 3[/tex] sports drinks would be
[tex]X * 2.25 + (X+3) * 1.25 = 21.25[/tex]
[tex]2.25 X + 1.25 X + 3.75 = 21.25 \\3.5 X = 21.25 -3.75\\3.5 X = 17.5\\X = \frac{17.5}{3.5} \\X = 5[/tex]
Thus, the number of slices of pizza purchased is equal to [tex]5[/tex]
Hence, number of Sports drinks purchased is equal to
[tex]5 + 3\\8[/tex]
The number of slices of pizza is 5. Then the number of the sports drink, she purchased is 5+3 = 8.
What is the linear system?
It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
Given
April bought some sports drinks and slices of pizza for her friend.
She bought 3 more sports drinks than slices of pizza.
The total order was $21.25
Let the total number of slices of pizza be x
Then the total number of sports drink be x + 3
The price of one slice of pizza is $2.25.
The price of one sports drink is $1.25.
According to the condition.
[tex]\begin{aligned} 2.25(x) + 1.25 (x + 3) = 21.25\\\\2.25x + 1.25x + 3.75 = 21.25\\\\3.5x = 17.5\\\\x = 5 \end{aligned}[/tex]
Thus, the number of slices of pizza is 5. Then the number of sports drinks is 5+3 = 8.
More about the linear system link is given below.
https://brainly.com/question/20379472
