Answer:
Step-by-step explanation:
how many shapes of size A are in B ?
I counted 9.5
then just multiply the count * the size of A
got it?
4x - 9 = 2x
Solve for x.
4x = 2x + 9
2x = 9
x = 4.5
We can plug 4.5 into the original equation to verify if it's correct.
4x - 9 = 2x
4(4.5) - 9 = 2(4.5)
18 - 9 = 9
The equation is true, and so x = 4.5
Answer:
See explanation
Step-by-step explanation:
1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

13.

Let x be the amount of Columbian coffee in the mixture and y the amount of Sumatra coffee in the mixture, then
x + y = 1 . . . (1)
9.25x + 14.25y = 12.50 . . . (2)
(1) x 9.25 => 9.25x + 9.25y = 9.25 . . . (3)
(2) - (3) => 5y = 3.25 => y = 3.25/5 = 0.65
From (1), x + 0.65 = 1 => x = 1 - 0.65 = 0.35
1 pound of the mixture contains 0.35 Columbian coffee and 0.65 Sumatra coffee
Therefore, 12 pounds of the mixture will contain 0.35 x 12 = 4.2 pounds of Columbian coffee and 0.65 x 12 = 7.8 pounds of Sumatra coffee