Question

A food store makes a 11–pound mixture of peanuts, almonds, and raisins. The cost of peanuts is $1.50 per pound, almonds cost $3.00 per pound, and raisins cost $1.50 per pound. The mixture calls for twice as many peanuts as almonds. The total cost of the mixture is $21.00. How much of each ingredient did the store use


3lbs peanuts, 6 lbs almonds, 2 lbs raisins
8 lbs peanuts, 1 lb almonds, 2 lbs raisins
6 lbs peanuts, 3 lbs almonds, 2 lbs raisins
8 lbs peanuts, 2 lbs almonds, 1 lbs raisins

Answer 1

c

Answer 2

Can you explain how you got it? please

Answer 3

i can try, it'll take some time to type up though :/

Answer 4

well its okay, you helped enough (:

Answer 5

system of equations. they want 2 times the amount of almonds for peanuts.

1.5(2a) + 3a + 1.5r = 21
2a + a + r = 11

solve for r in the second equation:

3a + r = 11
r = 11 - 3a

substitute for r in the first equation:

1.5(2a) + 3a + 1.5(11 - 3a) = 21

simplify/distributive property:

3a + 3a + 16.5 - 4.5a = 21

combine like terms:

1.5a + 16.5 = 21

subtract 16.5 from both sides:

1.5a = 4.5

divide by 1.5 on both sides:

a = 3

and the only choice with 3 for almonds is c.

Answer 6

does that make sense? and sorry it took so long

Answer 7

@alyssacherry2 ._.

Answer 8

sorry cooking chicken lmao! @AriPotta

Answer 9

oh ok, sorry lol

Answer 10

No problem (: thank you sooo much for explaining it (:

Answer 11

does it make sense or do you need me to explain anything better?

Answer 12

No i get it (: i can come back to this and look what you put as help fo new problems (: