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jek_recluse [69]
2 years ago
13

Steve sells vacuum cleaners door to door. He earns a base salary of $500 plus $100 for every vacuum cleaner he sells. Steve also

works selling encyclopedias door to door. He makes $300 plus $200 for every set of encyclopedias he sells.
How many items would Steve need to sell for the two salaries to be the same?
Mathematics
2 answers:
valentinak56 [21]2 years ago
8 0

Answer:

2

Step-by-step explanation:

Let x = number of items Steve sells

Let y = salary earned

Create two equations:

Vacuum sales:  y = 500 + 100x

Encyclopedia sales: y = 300 + 200x

Equal the equations and solve for x to find the number of items Steve needs to sell for the two salaries to be the same:

500 + 100x = 300 + 200x

Subtract 300 from both sides:  200 + 100x = 200x

Subtract 100x from both sides: 200 = 100x

Divide both sides by 100:  2 = x

Therefore, Steve would have to sell 2 items for the two salaries to be the same.

harkovskaia [24]2 years ago
7 0
Answer: 04 items (02 each)

Step-by-step explanation:
Steve's base salary is $500 and $300 respectively for selling vacuum cleaner and encyclopedia. Along with that his bonus is $100 and $200 respectively. If he sells 02 items each, his earnings would be as follows:
For 02 vacuum cleaner: 500+100+100
= $700
For 02 encyclopedia: 300+200+200
= $700
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Zolol [24]
A.  The ratio of lynx to mountain lions to wolverines is 2:3:1.

Thus, there are 2 lynx in the ratio.  If there were 6 lynx, we would have to multiply all of the numbers in the ratio by 3 (because 6/2 = 3) to keep the ratio in the same proportion.  

Therefore, because there is 1 wolverine in the ratio, and 1 * 3 = 3, if there were 6 lynx, there would be 3 wolverines.

b. We can use the same ideas that we had in part a to help us in part b.
There are 3 mountain lions in the ratio, but there are 15 mountain lions in the problem.  Thus, the multiplier is 5, because 15/3=5.

Therefore, because there are 2 lynx in the ratio, and 2*5 = 10, if there were 15 mountain lions, there would be 10 lynx.

c.  There is one wolverine in the ratio, but there are 10 wolverines in the problem.  Thus, the multiplier is 10, because 10/1 = 10

Therefore, because there are 3 mountain lions in the ratio, and 3 * 10 = 30, if there were 10 wolverines in the park, then there would be 30 mountain lions.

d.  The total number of lynx, mountain lions, and wolverines is 30.
To find out how many of each animal there should be, we must make an equation using the ratio and the variable x. 

2x + 3x + 1x = 30

This equation means that the total number of animals together is 30, which is true.  Now let's simplify by combining like terms.

6x = 30

Finally, we can simplify by dividing both sides by the coefficient of x, or 6.

x = 5

Thus, going back to our original equation, we know that the amount of lynx is 2x, mountain lions is 3x, and wolverines is 1x.

Lynx = 2x = 2(5) = 10 lynx
Mountain Lion = 3x = 3(5) = 15 mountain lions
Wolverines = 1x = 1(5) = 5 wolverines

Hope this helps! :)

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