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horsena [70]
3 years ago
11

In a certain Algebra 2 class of 24 students, 9 of them play basketball and 13 of them

Mathematics
1 answer:
marta [7]3 years ago
7 0

Answer:

20/24 or 5/6

for deltamath

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Mumz [18]

Answer:

An apple costs $2.25. A mango costs $1.25.

Step-by-step explanation:

Let a = price of 1 apple.

Let m = price of 1 mango.

Cameron:

4 apples + 7 mangoes ----> total $17.75

4a + 7m = 17.75

Gavin:

2 apples + 5 mangoes ----> total $10.75

2a + 5m = 10.75

We have a system of 2 equations in 2 unknowns.

4a + 7m = 17.75

2a + 5m = 10.75

We can use the elimination method to eliminate the variable <em>a</em>. Rewrite the first equation. Multiply both sides of the second equation by -2 and write below it. Then add the equations.

           4a + 7m = 17.75

(+)       -4a - 10m = -21.5

---------------------------------

                    -3m = -3.75

Divide both sides by -3.

m = 1.25

<em>A mango costs $1.25.</em>

Now we use the first equation and substitute 1.25 for <em>m</em> and solve for <em>a</em>.

4a + 7m = 17.75

4a + 7(1.25) = 17.75

4a + 8.75 = 17.75

4a = 9

a = 2.25

<em>An apple costs $2.25.</em>

Answer: An apple costs $2.25. A mango costs $1.25.

6 0
3 years ago
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