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KengaRu [80]
3 years ago
7

Kelli and Karl each have a job. Kelli earns $20 an hour. She also receives a $100 weekly bonus.

Mathematics
1 answer:
Firlakuza [10]3 years ago
5 0
Answer:   When they work 10 hours each, they both make $300.

kelli    y = 20x + 100
karl    y = 25x + 50

substitution:

y = 20x + 100

25x + 50 = 20x + 100
-20x  -50    -20x   -50
--------------------------------
5x = <span>50 
</span>5       5

x = 10

(Then plug into any equation)
y = 25x + 50
y = 25(10)  + 50
y = 300

When they work 10 hours each, they both make $300.


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One number is 6 more than a second number, the sum of the two numbers is 330. what are the numbers?
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Let's have the first number, the larger number, be <em>x</em>.  We'll have the second, smaller number be <em>y</em>.

We know that x = y + 6, since x is 6 greater than y.

We also know that 330 = x + y.

Because x = y + 6, 330 = y + 6 + y, which simplifies to 330 = 2y + 6.

Now all we need to do is simplify the equation.  First, we subtract 6 from both sides:

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So we have 324 = 2y.  Then we divide both sides by 2 to get:

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Plug in y = 162 into the equation x = y + 6 to get:

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Let's check to make sure our answer is right.  168 is 6 more than 162.  162 + 168 equals 330.  So our two numbers are 168 and 162.

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