Answer :
Answer:
We need to combine 3 cans of Red Bull and 1 can of Jolt Cola to obtain the heart-pounding combination of sugar and caffeine.
Step-by-step explanation:
1. Identify the variables
Consider:
X= Number of Red Bull 8.3 ounce cans
Y= Number of Jolt Cola 23.5 ounce cans
2. Construct the linear equation system:
The specified heart-poundinf combination of sugar and caffeine is determinate by the sum of the amount of sugar and caffeine contained in each drink.
Amount of Sugar:
[tex]27 X + 94 Y=175[/tex] (1)
Amount of Caffeine:
[tex]80 X + 280 Y=520[/tex] (2)
3. Solve the linear equation system
Solve (1) for x:
[tex]X=\frac{175-94Y}{27}[/tex]
Replace X in (3):
[tex]80(\frac{175-94Y}{27})+280Y=520\\ \frac{80.175}{27}-\frac{80.94Y}{27}+280Y=520\\ \frac{1400}{27}-\frac{7520Y}{27}+280Y=520\\[/tex]
[tex]\frac{14000}{27}+Y(-\frac{7520}{27}+280)=520\\27(\frac{14000}{27}+\frac{40}{27} Y)=520.27\\1400+40Y=14040\\Y=1[/tex]
Replace Y in X:
[tex]X=\frac{175-94(1)}{27}\\X=3[/tex]
Conclution:
We need to combine 3 cans of Red Bull and 1 can of Jolt Cola to obtain the heart-pounding combination of sugar and caffeine.