Answer:
108 lb of mulch; 64 lb of gravel
Step-by-step explanation:
A supplier sells 2 1/4 pounds of mulch for every 1 1/3 pounds of gravel. The supplier sells 172 pounds of mulch and gravel combined. How many pounds of each item does the supplier sell?
First, find the proportioned total of mulch and gravel:
[tex]2\frac{1}{4}+1\frac{1}{3}=\frac{9}{4}+\frac{4}{3}=\frac{27}{12}+\frac{16}{12}=\frac{43}{12}[/tex]
Mulch = [tex]\frac{27}{43}[/tex]
Gravel = [tex]\frac{16}{43}[/tex]
Then, find the portion of the combined total that each one comprises:
Mulch = [tex]\frac{27}{43}\times{172}=108[/tex]
Gravel = [tex]\frac{16}{43}\times{172}=64[/tex]
Therefore, the supplier sold a combined 108 lb of mulch and 64 lb of gravel.
