Question

Can you guys answer this question ASAP, thanks will give brainliest

Answer 1

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 a. 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

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                    -3m = -3.75

Divide both sides by -3.

m = 1.25

A mango costs $1.25.

Now we use the first equation and substitute 1.25 for m and solve for a.

4a + 7m = 17.75

4a + 7(1.25) = 17.75

4a + 8.75 = 17.75

4a = 9

a = 2.25

An apple costs $2.25.

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

Answer 2

Answer:

2.25 ; 1.25

Step-by-step explanation:

4A + 7M = 17.75

2A + 5M = 10.75

2A = 10.75 - 5M

4A = 21.5 - 10M

21.5 - 10M + 7M = 17.75

3.75 = 3M

M = 1.25

4A = 21.5 - 10(1.25)

4A = 9

A = 2.25