Question

Otis and Rhonda need 14 ounces of a snack mix that is made up of seeds and dried

Answer 1

Answer:

A)

x + y = 14

1.5x + 2.5y = 24

B) (11,3)

Step-by-step explanation:

x + y = 14

1.5x + 2.5y = 24

x = 14 - y

1.5(14 - y) + 2.5y = 24

21 - 1.5y + 2.5y = 24

y = 3

x = 14 - 3

x = 11

Answer 2

Answer:

(11, 3)

Step-by-step explanation:

Let's say that the ounces of seeds is x and the ounces of dried fruit is y. Since Otis and Rhonda need 14 ounces total: x + y = 14.

Each ounce of seeds is 1.50 and each ounce of dried fruit is 2.50. In total, they will add up to 24, so: 1.50x + 2.50y = 24

Part 1

The system is:

x + y = 14

1.50x + 2.50y = 24

Part 2

To solve, we can use substitution. First, subtract x from both sides of the first equation: x + y - x = 14 - x  ⇒  y = 14 - x

Now, we can substitute this in for y in the second equation:

1.50x + 2.50 * (14 - x) = 24

1.50x + 35 - 2.50x = 24

-x + 35 = 24

x = 11

Plug 11 into the equation x + y = 14 to solve for y:

11 + y = 14  ⇒  y = 3

Thus, the answer is (11, 3).

Hope this helps!