A health-food store sells trail mix made with granola and dried fruit

health-food-store

#1

A health-food store sells trail mix made with granola and dried fruit. The store buys granola at $1.00/lb and dried fruit at $2.00/lb and it sells these items at a 25% markup. If the trail mix sells for $1.75/ib, what is the recipe for trail mix?

Answer:

$1.75/lb is 1.25 times the price the store bought the mix for.
$1.75/1.25=$1.4
So the store bought the mix for $1.4/lb

Let x be the percentage of granola used and y the percentage of dried fruit used for the recipe. Using weighted arithmetic mean, we have that:

x1+y2=1.4
x+y=1

Solving the system, we have that x=0.6 and y=0.4. So the recipe uses 60% of granola and 40% of dried fruit.