CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Tom and Alison are both salespeople. Toms weekly compensation consists of $300 plus 20 percent of his sales. Alisons weekly compensation consists of $200 plus 25 percent of her sales. If they both had the same amount of sales and the same compensation for a particular week, what was that compensation, in dollars? (Disregard the dollar sign when gridding your answer.)

A
600
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
700
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
750
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
650
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 700

Let’s use x for sales in dollars. Tom’s compensation (in dollars) will be 300+0.20x. Alison’s compensation will be 200+0.25x. To find x, set them equal to each other.

300+0.20x=200+0.25x
100=0.06x
2000=x

Now remember, the question didn’t ask you for their total sales! It asked you for their total compensation! Now that you know the sales, you have one more step to answer the question: use one side of the equation above to figure out what each person made that week.

I’m going to use Tom’s:

300+0.20(2000)=700


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon