Kelly needs to order lunch for the 6 people at a business meeting. Her menu choices are chicken salad for acost of $5 per person
and egg salad for a cost of $4 per person. She only has $28 to spend. More people want chicken salad. how many of each lunch can she order? Write one equation in the system.
Write a second equation in the system.
What do x and y represent?
Hello There!! (: I'm Here to help! If we say Kelly orders 1 chicken salad, then it means she ordered 5 egg salads.
If she ordered x chicken salads, then she'll have to order the rest, which is <span>(6−x)</span> egg salads.
For first equation, let's set y to be the meal's price. It consist of the price of all chicken salads ordered and the price of all egg salads ordered:
<span>y=5x+4(6−x)</span>
Again, x represents number of chicken salads ordered, and y represents the meal's price.
A second equation would come to limit the price to the money Kelly has:
<span>y≤28 </span>
Notice there are more constraints to add on the values (x cannot be negative, no such thing negative number of salads or fractional number of salads) so just keep that in mind.
Now, since we know the price based on the number of chicken salads, we can say for what number of salads it matches the second restriction:
<span><span><span>5x+4(6−x)≤28</span><span>5x+24−4x≤28</span><span>x≤28−24</span><span>x≤4
Does this help you? I Sure hope so have a goodnight ! (:
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