Answer:
[tex]3.26 + 3B = 9.50[/tex]
A bottle water costs $2.08
Explanation:
Given
Represent the hamburger with H
Represent the bottles of water with B
[tex]Total = \$9.50[/tex]
Solving (a): Represent as an equation
1 hamburger = 3.26
3 bottles of water = 3 * B
Total = 9.50
The system is represented as thus:
1 hamburger + 3 bottles of water = Total
Substitute values
[tex]3.26 + 3 * B = 9.50[/tex]
[tex]3.26 + 3B = 9.50[/tex]
Solving (b): The cost of bottle water
[tex]3.26 + 3B = 9.50[/tex]
Make 3B the subject
[tex]3B = 9.50 - 3.26[/tex]
[tex]3B = 6.24[/tex]
Divide both sides by 3
[tex]\frac{3B}{3} = \frac{6.24}{3}[/tex]
[tex]B = \frac{6.24}{3}[/tex]
[tex]B = 2.08[/tex]
A bottle water costs $2.08