Allie, barbara, and carson will divide $440 among themselves as follows. Barbara gets 2 times as much as allie. Carson gets 1/3 as much as barbara. How much does each person get?

Allie got $120, Barbara got $240 and Carson got $80.

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that:

Allie got x.

Barbara got y.

Carson got z.

Divide $440 among themselves

This means that

Barbara gets 2 times as much as allie.

This means that

Carson gets 1/3 as much as barbara.

This means that

Finding x:

Replacing in the first equation.

Multiplying everything by 3

Finding y and z:

Allie got $120, Barbara got $240 and Carson got $80.

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!

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step-by-step explanation: