Question

On his last report card Kai had 3 A's and 2 B's and received $42 for his effort. Thanh received $44 for 2 A's and 4 B's. Find the amount earned for each A and each B. If your report card's from Grades 7, 8, and 9 show 16 A's and 8 B's, how much money should you receive at these rates?

A. $7 per A, $6 per B
B. $6 per A, $7 per B
C. $5 per A, $8 per B
D. $8 per A, $5 per B

Answer 1

To find the amount earned for each A and each B, set up a system of equations. The amount earned for each A is $8 and the amount earned for each B is $6. You should receive $176 for 16 A's and 8 B's at these rates.

Step-by-step explanation:

To find the amount earned for each A and each B, we can set up a system of equations using the given information:

Let x be the amount earned for each A and y be the amount earned for each B.

From the first statement, we have:

3x + 2y = 42

From the second statement, we have:

2x + 4y = 44

Solving this system of equations, we find that x = 8 and y = 6.

Therefore, the amount earned for each A is $8 and the amount earned for each B is $6.

To find how much money you should receive at these rates for 16 A's and 8 B's, we can plug in these values into the first equation:

16(8) + 8(6) = $128 + $48 = $176.

So, you should receive $176 at these rates.