A crew consists of 1 apprentice, 1 journeyman, and 1 master carpenter. The crew receives a check for $6900 for a job they finished.A journeyman makes 300% of what an apprentice makes and a master carpenter makes make 250% of what a journeyman makes. How much does each person on the crew earn?

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Make three equations using a,j,c.

a+c+j=6900
3*a=j
2.5*j=c

Use simultaneous equations to solve.

Let's assume that the apprentice's earnings are represented by 'A', the journeyman's earnings are represented by 'J', and the master carpenter's earnings are represented by 'M'.

According to the given information, we know that:
J = 3A (a journeyman makes 300% of what an apprentice makes)
M = 2.5J (a master carpenter makes 250% of what a journeyman makes)

We also know that the total earnings for the crew is $6900. So we can write the equation:
A + J + M = 6900

Substituting the values of J and M from the given information:
A + 3A + 2.5(3A) = 6900

Simplifying the equation:
A + 3A + 7.5A = 6900
11.5A = 6900
A = 600

Now we can calculate the earnings for each person on the crew:
J = 3A = 3 * 600 = 1800
M = 2.5J = 2.5 * 1800 = 4500

So, the apprentice earns $600, the journeyman earns $1800, and the master carpenter earns $4500.

To solve this problem, let's assign variables to represent the earnings of each person on the crew.

Let's say the apprentice's earnings are represented by A.
Since the journeyman makes 300% of what the apprentice makes, the journeyman's earnings can be represented by 3A.
And since the master carpenter makes 250% of what the journeyman makes, the master carpenter's earnings can be represented by 2.5 * 3A.

Now, we can set up an equation to represent the total earnings of the crew:
A + 3A + 2.5 * 3A = $6900

Combining like terms, we get:
A + 3A + 7.5A = $6900

Simplifying further:
11.5A = $6900

Now, let's solve for A by dividing both sides of the equation by 11.5:
A = $6900 / 11.5

Calculating this, we find that A is approximately $600.

So, the apprentice earns $600.

Now, we can calculate the earnings for the journeyman and the master carpenter:
Journeyman's earnings = 3A = 3 * $600 = $1800
Master carpenter's earnings = 2.5 * 3A = 2.5 * 3 * $600 = $4500

Therefore, the apprentice earns $600, the journeyman earns $1800, and the master carpenter earns $4500.