Question

Can someone help me out with this! Thank you in advance :)

Frank’s Fruit Stand sells fresh fruit as well as fruit dipped in chocolate and covered with chopped
almonds. Each dipped banana requires 6 grams of chocolate and 3 grams of almonds to coat. It takes 6 grams
of chocolate and 4 grams of almonds to coat a dipped apple and 1gram of chocolate and 1 gram of almonds
to coat a dipped strawberry. Frank has as much fruit as he could possibly need to make the dipped bananas,
apples and strawberries but he would like to clear out his inventory of chocolate and almonds. If Frank has
60 grams of chocolate and 42 grams of almonds left, what combinations of dipped bananas, apples and
strawberries could Frank make in order to use all of his chocolate and almonds.

Answer 1

what do we know?
if we let
x = # dipped bananas
y = # dipped apples
z = # dipped strawberries
so, to produce such a mix, we need
6x+6y+z = 60
3x+4y+z = 42

equating z, we wind up with

3x+2y = 18

So, let's see what we can do, using only integer values:

x y z
0 9 6
2 6 12
4 3 18
6 0 24

Answer 2

Thanks Steve!! You're a life saver ;)

Katy