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donna wants to make trail mix made up of almonds walnuts and raisins she wants to mix one part almonds two parts walnuts and three parts raisins. almonds cost 12 per pound walnuts cost 9 dollars per pound and raisins cost 5 dollars per pound. donna has 15 dollars to soend on the trail mix determine how mant pounds of.trail mix she can make

Respuesta :

1 part almond
2 parts walnut
3 parts raisins
6 parts in all.

almond = 12 per pound
walnuts = 9 per pound
raisins = 5 per pound

1/6 * 12 = 2
2/6 *   9 = 3
3/6 *   5 = 2.5
total         7.5

15/7.5 = 2 

almond: 2 * 2 = 4 ⇒ 4/12 = 1/3 pounds of almonds
walnut:   3 * 2 = 6 ⇒ 6/9 = 2/3 pounds of walnuts
raisins: 2.5 * 2 = 5 ⇒ 5/5 = 1 pound of raisins

1/3 + 2/3 + 1 ⇒ 1/3 + 2/3 + (1 *3/3) = 1/3 + 2/3 + 3/3 = 6/3 = 2 pounds of trail mix.