Let's start by writing a system of linear equations:
c -> cookies
cb -> candy bars
(You can use any abbreviations to your preference)
Abby:
4 cookies
3 candy bars
$10.25 per bag
The equation would be:
4c+ 3cb = $10.25
Marissa:
2 cookies
7 candy bars
$14.75 per bag
The equation would be:
2c + 7cb = $14.75
So our linear equation system would be:
<span>4c+ 3cb = $10.25
</span><span>2c + 7cb = $14.75
I would try to get rid of one variable so I can solve for the other variable. In this case, it is easier to get rid of c since I can multiply the second equations by 2. Then it would subtract the two equations.
(2c + 7cb = $14.75) 2 = 4c + 14 cb = $29.50
4c + 3cb = $10.25
- 4c+14 cb = $29.50 (4c would get canceled.)
---------------------------------
-11 cb = - $19.25 (Divide by -11 to solve for cb)
</span> --------- -------------
-11 -11
cb = $1.75
Now we know cb (candy bar) cost, we would substitute this value into cb into one of the equations. It doesn't matter which equation you put it in. I will substitute it in the first equations.
4c + 3 (1.75) = $10.25
4c + 5.25 = $10.25 (Multiply 3 by 1.75)
-5.25 -5.25 (Subtract 5.25 on both sides)
4c = 5 (Divide by 4 on both sides to get c)
---- ---
4 4
c= 1.25
Check the work:
4(1.25) + 3(1.75)
= $10.25
2(1.25) + 7(1.75)
= $14.75
Total cost:
cookies = $1.25
candy bars = $ 1.75
Hope this helps! :)
Answer:
55
Step-by-step explanation:
let the number=x
5x=7x-110
7x-5x=110
2x=110
x=110/2=55
Answer:
I know that C is one of the answers but im not sure about D. OI'm 80% sure that D is also correct.
Step-by-step explanation:
sfdsdjfbsjb that up there jo mama
Answer:
<h2>f(-6) = -33, f(4) = 7</h2>
Step-by-step explanation:
f(-6), f(4)
Put x = -6 and x = 4 to the equation of the function:
Answer:
Step-by-step explanation:
If all were dimes, the total would be $1.30. It is $0.75 more than that.
Each quarter that replaces a dime adds $0.15 to the total, so there must be ...
$0.75/$0.15 = 5
quarters.
Kevin has 8 dimes and 5 quarters in change.
_____
<em>Check</em>
8 × 0.10 + 5 × 0.25 = 0.80 + 1.25 = 2.05 . . . . answer checks OK
