Larry has a budget of $1,100 with which to order lunches for a company event. The options are hamburgers for $9.00 each and salads for $12.50 each.
Which pairs (h,s) represent possible numbers of hamburgers and salads Larry could order? Select all that apply.
a) (50, 52)
b) (-16, 100)
c) (40, 60)
d) (120, 0)
To find all the possible pairs of hamburgers and salads Larry could order, we need to set up an equation based on his budget.
Let h = number of hamburgers ordered
Let s = number of salads ordered
The cost of ordering h hamburgers is 9h
The cost of ordering s salads is 12.5s
Larry's total budget is $1100, so we have:
9h + 12.5s = 1100
Now we can test each pair of values to see if they satisfy the equation:
a) (50, 52)
9(50) + 12.5(52) = 450 + 650 = 1100
This pair satisfies the equation.
b) (-16, 100)
This pair involves a negative number of hamburgers, so it is not possible in this context.
c) (40, 60)
9(40) + 12.5(60) = 360 + 750 = 1110
This pair does not satisfy the equation.
d) (120, 0)
9(120) + 12.5(0) = 1080
This pair does satisfy the equation.
Therefore, the possible pairs of (h, s) that Larry could order are:
a) (50, 52)
d) (120, 0)