5900 is invested, part at 10% and part at 8% totaled yeild$534.00. how much was invested at each rate?

Question

5900 is invested, part at 10% and part at 8%  totaled yeild$534.00. how much was invested at each rate?

radar · Answer

Lets review what we do know.
A total of 34 were sold, the number of white ones plus the number of yellow one equal 34
We know the cost of a sweater if it is white is $9.95, yellow $11.50

radar · Answer

What are we to find?  We want to find the number of each sweater sold.
What else do we know?  We know that a total $366.20 was sold (white & yellow)

radar · Answer

Let x = the number of white sweatshirts sold.
Taking what we know, we can say 34-x is the number of yellow sold.  Does that make sense?

radar · Answer

It does, so continuing.

We now get to the money.  If we know the amount of money made for each color, we can get the desired answer.

radar · Answer

Total money was $366.20 and that would also equal:
9.95x + 11.50 (34-x) = $366.20    Now it is just simple algebra to solve for x (white)
and 34-x the yellow ones.  Do you need further help?

anonymous · Answer

yes

radar · Answer

Have at it, and good luck, post your answer and I will standby.

anonymous · Answer

i am not good in algebra confused

radar · Answer

9.95x + 11.50(34) - 11.5x = $366.20  (after clearing the parenthesis
-1.55x +391 = $366    after combining the x
-1.55x = -$24.80 after subtracting 391 from both sides
Now solve for x (white) and 34-x the yellow.

radar · Answer

You don't have to be "good" at, all you need is to apply the rules for algebra that you learned in high school.

radar · Answer

To solve for x, divide both sides by -1.55

anonymous · Answer

x=16

radar · Answer

yes 16 white
34-16= 18 yellow

anonymous · Answer

thank you that helped i have a problem with percentages can u help

radar · Answer

go ahead and post it

anonymous · Answer

5900 is invested part of it @ 10% and part at 8% for a certain year the total yeild $534.00 how much was invested @ each rate?

radar · Answer

I think I have to think a little on this one.  I'm thinking.

anonymous · Answer

ok i don't understand percantages thank you for helping me. i still have 3 graphs to do n i do not get graphing

radar · Answer

O. K.  Lets do it this way

Let x equal the part that was invested at 10% that being the case then we can say:
5900-x equals the part invested at 8 %

We can say:  .1x +.08(5900-x)=$534.00  You can take it from there.

radar · Answer

Graphs you will have to do your self, just plot the data.