Question

A baker wants to sell a new snack mix by mixing skittles and trail mix. How many pounds of skittles costing $16.70 per pound should be mixed with 12 pounds of trail mix costing $4.20 per pound to create a mixture worth $10.93 per pound.

Thank you!!!

Answer 1

price of 12 pounds of trail mix = 12 x $4.20
= $50.40
Let the number of pounds of skittles and trail mix be x,
number of pounds of skittles = 12 - x
price of pounds of skittles = $16.70(12 - x)
= $200.40 - 16.7x
total amount = 10.93x
200.40 - 16.7x + 50.40 = 10.93x
250.80 = 27.63x
x = 10 (nearest whole number)
the minimum number of pounds of skittles is 10.