Question

Yoki bought x pounds of peanuts for $3.50 per pound and y pounds of cashews for $5.05 per pound at the store for a retirement party. The total bill was $24.10 for 6 pounds of nuts.
Part A Write a system of two equations that could be used to find the number of pounds of peanuts and the number of pounds of cashews bought.
Part B Solve the system. How many pounds of each nut did Yoki buy?

Answer 1

Note that x + y = 6 (total of 6 pound of nuts) Did you catch that. That is one of the equations for this system.

Answer 2

That takes care of the pounds. Now follow the money.
3.50x + 5.05y=$24.10 That is your 2nd equation for the system.

From 1st express x in terms of y, x=6-y substitute 6-y for x in the 2nd equation and solve.

Answer 3

Is this gonna be a monologue?

Answer 4

Sorry im just trying to figure it out

Answer 5

Note the problem assigns what x and y represent and do you see where it tells you that
x + y = 6

Answer 6

yes i do so i write it out like this 6-y=6? or how would i write that out? idk why im so confused

Answer 7

The sum of x pounda of peanuts plus y pounds of cashew is 6 pounds would be written out like this: x + y = 6

Answer 8

That would be the first equation for the "system" of equations needed to solve this problem.

Answer 9

okay cool and the second equation is 3.50x + 5.05y=$24.10 so then for part b how do i find that

Answer 10

Yes, that shows the cost (money). Now you have two equations each with two unknowns. We must convert these two to one and here is how it is done;
Take the first equation x + y = 6, and express x in terms of y getting s=6-y. all you are doing is subtracting y from both sides. A legal algebra move that you should be familiar with. Do you follow this far?

Answer 11

Now you substitute 6-y for every x you see in the 2nd equation.
I think I made a typo in my post above. x + y = 6, then x=6-y

Answer 12

Here is what that would look like
3.50(6-y) + 5.05y =24.10
21 -3.50y + 5.05y = 24.10
1.55y = 24.10 - 21
1.55y = 3.10
y=2, or 2 pounds of cashews since x+ y =6
x must be 4, or 4 pounds of peanuts.

Answer 13

wow i was way off but that makes wayyyyy more sense thank you so much!!

Answer 14

Good luck with your studies.