Answer:
$3.30
Step-by-step explanation:
Represent Burger with B and Fries with F
[tex]2B + F = 5.10[/tex]
[tex]B + 2F = 4.80[/tex]
Required
Determine the values of B + F
Make F the subject, in (1)
[tex]F = 5.10 - 2B[/tex]
Substitute this in (2)
[tex]B + 2(5.10 - 2B) = 4.80[/tex]
[tex]B + 10.20 - 4B = 4.80[/tex]
Collect Like Terms
[tex]B - 4B = 4.80 - 10.20[/tex]
[tex]- 3B = -5.40[/tex]
Divide both sides by -3
[tex]B = \$1.80[/tex]
Recall that [tex]F = 5.10 - 2B[/tex]
[tex]F = 5.10 - 2 * 1.80[/tex]
[tex]F = 5.10 - 3.60[/tex]
[tex]F = \$1.50[/tex]
One burger and One Fries = F + B
[tex]F +B = \$1.50 + \$1.80[/tex]
[tex]F +B = \$3.30[/tex]
