In a drawing for a certain company's recent holiday party door prizes,

Question

In a drawing for a certain company's recent holiday party door prizes, 12 employees were awarded a total of $120, with each of 4 employees awarded $A and each of 8 employees awarded $B.

Select for A and for B values that are jointly consistent with the information provided. Make only two selections, one in each column.

poojaarora1818 · Answer

Solution:

Here we set up a simple equation to get to the solution. Here you go:

A(4) + B(8) = 120

And to reach the solution we try to fit the available choices into this equation. Only values 20 for A and 5 for B fit into it.

Ilanchezhiyan · Answer

4X+8Y=120; Of all values only (4* 20)+(8 *5) = 120 fits.

Bismuth83 · Answer

1. The question asks us to  find a working combination of prize money A and B .

2. The total prize money received by the 4 employees was  4 * A . Similarly, the total prize money received by the 8 employees was  8 * B .

3. So, the overall prize money received by all 12 employees is  4A + 8B = 120 \rightarrow A + 2B = 30 .

4. Since we're given no further information let's check the answer choices for A and check whether B works:

- A = 4.  A + 2B = 30 \rightarrow B = 15 - \frac{A}{2} = 15 - \frac{4}{2} = 13 ,   which doesn't work  .
 - A = 5.  A + 2B = 30 \rightarrow B = 15 - \frac{A}{2} = 15 - \frac{5}{2} = 12.5 ,   which doesn't work  .
 - A = 12.  A + 2B = 30 \rightarrow B = 15 - \frac{A}{2} = 15 - \frac{12}{2} = 9 ,   which doesn't work  .
 - A = 20.  A + 2B = 30 \rightarrow B = 15 - \frac{A}{2} = 15 - \frac{20}{2} = 5 ,   which works  .
 - A = 30.  A + 2B = 30 \rightarrow B = 15 - \frac{A}{2} = 15 - \frac{30}{2} = 0 ,   which doesn't work  .
 - A = 40.  A + 2B = 30 \rightarrow B = 15 - \frac{A}{2} = 15 - \frac{40}{2} = -5 ,   which doesn't work  .

5. Our answer will be:   A - 20 and B - 5  .

Aalto700 · Answer

A+2B=30
→ B<15.
Try B=4,5,12.
B=5 works with A=20.

In a drawing for a certain company's recent holiday party door prizes,

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