A company that makes trail mix uses 138 pounds of peanuts for every 23 pound of raisins. They make 245 pounds of trail mix using only peanuts and raisins. How many pounds of peanuts do they use?

Answer 1

210 pounds of peanuts

Given peanuts to raisins is 138 to 23 we can simplify this ratio

p/r = 138/23 = 6/1

p = 6

r = 1

6 pounds of peanuts are used per pound of raisins in our trail mix recipe

We have a total of 6 + 1, or 7 for our trail mix recipe

To determine how many pounds of peanuts are in 245 pounds of trail mix we need to set up a proportion of parts to totals.

6/7 = p/245

Multiply both sides by 245 to solve for p

6(245)/7 = 210 = p

We can check by calculating the pounds of raisins then confirming the ratio of ingredients as 6

245 - 210 = 35 pounds of raisins

p/r = 6/1

p/r = 210/35 = 6/1

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