Question

(Twenty kilograms of nuts consisting of cashews worth $6.00 per KG pecans worth $2.50 per KG, and peanuts worth $1.50 per kg are mixed. There are twice as many pecans as cashews, and there are as many kilograms of peanuts as pecans. The total value of the nuts is $56. How many of each is there?

Answer 1

Oooh I love these. Ready to work on them together?

Answer 2

yea

Answer 3

Awesome. Pick a letter for each nut and tell me what you used.

Answer 4

Or do you want me to choose variable letters?

Answer 5

a,b,c

Answer 6

Ok. So to be safe, we always write down what each one means. I'm assuming you went in order, so:

a = cashews
b = pecans
c = peanuts

Good so far?

Answer 7

what about the twice as many pecans as cashews what do we do with that

Answer 8

Well, for now we're just saying what each letter refers to, so you're ok with these choices, right?

Answer 9

yea

Answer 10

my teacher likes to use a t chart

Answer 11

Awesome. So, I'm hoping you've guessed by now that we'll have two equations. Do you know what each one will solve for?

Answer 12

no

Answer 13

Unfortunately, we can't use a T-Chart for this one. :( Since there are two equations.

Answer 14

Not a problem. I'll let you figure it on your own with hints:
They give us two types of information about each nut. What information do they give us? For example, do they tell us about the color of each nut?

Answer 15

And if not, what DO they tell us about each nut?

Answer 16

talking about per kg and what are mixed

Answer 17

Well, they tell you about the weight, yes, but not really anything about mixed. What other numbers relating to the nuts are given?

Answer 18

is this like a function problem

Answer 19

Yup. But what other numbers are given to us related to the nuts? We have weight, and what else?

Answer 20

the total value or how much of each is there

Answer 21

Well, that one is actually the weight. They don't ever tell us exactly how many nuts there are, only how many kilos of each nut. So besides that, what other kind of numerical info do we have? Reread the question.

Answer 22

I do need to leave in a few minutes, so please reply as soon as possible.

Answer 23

i figured it out got help from a friend thanks for the help though

Answer 24

Ok cool.