Remember, you can do anything to an equation as long as you do it to both sides
we hates fractions
times both sides by 3
(we could have added 1/3b to both sides but I'm lazy)
4b+6=12-b
add b to both sides
5b+6=12
minus 6 both sides
5b=6
divide both sides by 5
Answer:
if 9 ants=3.51inches
25 ants =x
therefore by cross multiplication
x= 25*3.51 /9 =9.8 inches
answer:B
Assign variables to you unknowns.
c = $ cars
t = $ trucks
6c + 3t = 4800
8c + t = 4600
use substitution or elimination to solve the system of equations.
using elimination.. multiply second equation by -3 and add to the other to combine equations into one.
6c + 3t = 4800
-3(8c + t = 4600)
---------------------------
-18c + 0 = -9000
c = 9000/18
c = 500 $
use this in one of the equations to find the cost of a truck.
8(500) + t = 4600
4000 + t = 4600
t = 4600 - 4000
t = 600 $
question asks
2(500) + 3(600) =
1000 + 1800 = 2800 $
Answer:number of cupcakes sold is 13
Number of cookies sold is 27
Step-by-step explanation:
Let x represent the number of cupcakes that Jane sold.
Let y represent the number of cookies that Jane sold.
Each cupcake sold for $2.25 and each cookie sold for $0.50. At the end of the day, Jean had sold $42.75 worth of cookies and cupcakes.
This means that
2.25x + 0.5y = 42.75 - - - - - - - - - -1
she sold 40 cupcakes and cookies combined, it means that
x + y = 40
Substituting x = 40 - y into equation 1, it becomes
2.25(40 - y) + 0.5y = 42.75
90 - 2.25y + 0.5y = 42.75
- 2.25y + 0.5y = 42.75 - 90
- 1.75y = - 47.25
y = - 47.35/-1.75
y = 27
x = 40 - y
x = 40-27 = 13
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