Alocal culinary market sells ground sumac for $1.25 per ounce and ground thyme for $1.50 per ounce. you want to make a 25-oz seasoning blend using the two spices that sells for $1.35 per ounce. how much of each spice should you use?

Let
x> ounces of ground sumac
y> ounces of ground thyme

we know that
x+y=25> x=25-y> equation 1
1.25x+1.5y=1.35*25> 1.25x+1.5y=33.75> equation 2

substitute equation 1 in equation 2
1.25*[25-y]+1.5y=33.75> 31.25-1.25y+1.5y=33.75
0.25y=2.5
y=10
x=25-y> x=25-10> x=15

the answer is
15 ounces of ground sumac
10 ounces of ground thyme

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