Question

A store is having a sale on jelly beans and trail mix. For
2
pounds of jelly beans and
5
pounds of trail mix, the total cost is
$10
. For
8
pounds of jelly beans and
3
pounds of trail mix, the total cost is
$23
. Find the cost for each pound of jelly beans and each pound of trail mix.

Answer 1

So could U show me your steps step by step just as I mentioned before ?
Hint : Let abbreviations to be (JM) for Jelly bean and (TM) from trail matrix :D
Step by step and don't worry it's very simple as ones before :)

Answer 2

@Omar_Elboredy could you go step by step for me

Answer 3

Let the two unknown unit prices be variables.
Let the unit price of jelly beans be b, and let the unit price of trail mix be m.

Answer 4

For 2 pounds of jelly beans and 5 pounds of trail mix, the total cost is $10.
If the unit price of jelly beans is b, and you buy 2 pounds, what is the cost of the jelly beans?

Answer 5

$5 @mathstudent55

Answer 6

@Deldrickg Are you there?

Answer 7

yees just responded

Answer 8

So from the problem statement and abbreviations I told to U :
2JB + 5 TM = 10 & 8JB + 3TM = 23
nw multiply (eq.1) by 4 U will get : 8JB + 20TM = 40 and then substract (eq.2) from the result eq ... U will get then : 17TM = 17 , then TM = 17/17 = 1 $
And finally U substitute back by TM = 1 in any of the equations (eq.1) or (eq.2) ,U will get : JB = 2.5$

Answer 9

2 pounds of jelly beans costs 2b
5 pounds of trail mix costs 5m
The total is $10, so you have your first equation:
2b + 5m = 10

Answer 10

You do the same for the second equation, and you get:
For 8 pounds of jelly beans and 3 pounds of trail mix, the total cost is $23.
8b + 3m = 23

This is your system of equations::
2b + 5m = 10
8b + 3m = 23

Answer 11

Multiply the first equation by -4 on both sides and add the equations:

-8b - 20m = -40
8b + 3m = 23
----------------
-17m = -17

Divide both sides by -17 to get
m = 1

Now substitute 1 for m in the first equation:
2b + 5m = 10
2b + 5(1) = 10
2b + 5 = 10
2b = 5
b = 2.5

Answer:
The jelly beans cost $2.50 per pound, and the trail mix costs $1 per pound.