Answer:
[tex]25=6t+4.5h[/tex]
2 pounds of ham
Step-by-step explanation:
1) Construct an equation
Let [tex]t[/tex] be equal to the number of pounds of turkey.
Let [tex]h[/tex] be equal to the number of pounds of ham.
We know that every pound of turkey costs 6 dollars, so the amount of money Lucy must spend on turkey is [tex]6t[/tex].
We also know that every pound of ham costs 4.50 dollars, so the amount of money Lucy must spend on ham is [tex]4.5h[/tex].
However, because 25 dollars is her budget, [tex]6t[/tex] and [tex]4.5h[/tex] must be equal to 25.
[tex]25=6t+4.5h[/tex]
2) How much ham can Lucy buy if she bought 2.5 pounds of turkey?
[tex]25=6t+4.5h[/tex]
Plug in 2.5 as [tex]t[/tex]
[tex]25=6(2.5)+4.5h\\25=15+4.5h[/tex]
Subtract both sides by 15
[tex]25-15=15+4.5h-15\\10=4.5h[/tex]
Divide both sides by 4.5
[tex]\frac{10}{4.5}=\frac{4.5h}{4.5} \\2.22=h[/tex]
Therefore, Lucy can buy 2 pounds of ham if she bought 2.5 pounds of turkey.
I hope this helps!
