SOLUTION: 15 (a) (i) Red pencils cost 12 cents each. What is the greatest number of red pencils you can buy for 360 cents? Answer (a)(i) [1] (ii) Blue pencils cost x cents each. Write

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Question 1201722: 15 (a) (i) Red pencils cost 12 cents each.
What is the greatest number of red pencils you can buy for 360 cents?
Answer (a)(i) [1]
(ii) Blue pencils cost x cents each.
Write down, in terms of x, the greatest number of blue pencils you can buy for 360 cents.
Answer (a)(ii) [1]
(iii) Yellow pencils cost (x + 8) cents each.
Write down, in terms of x, the greatest number of yellow pencils you can buy for 360 cents.
Answer (a)(iii) [1]
(b) The number of blue pencils in part (a)(ii) is 16 more than the number of yellow pencils in part
(a)(iii).
(i) Write down an equation in x and show that it simplifies to x^2+ 8x − 180 = 0.
Found 2 solutions by josgarithmetic, mananth:
Answer by josgarithmetic(39617) (Show Source):
You can put this solution on YOUR website!
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(ii) Blue pencils cost x cents each.
Write down, in terms of x, the greatest number of blue pencils you can buy for 360 cents.
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Price is dollars per blue pencil.

360 cents is 3.60 dollars.

pencils
pencils-------------In case of fraction occurring, accept only the whole number part.

Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website!
(a) (i) Red pencils cost 12 cents each.
What is the greatest number of red pencils you can buy for 360 cents?
12 cents 1 pencil
360 cents will fetch 360/12 = 30 pencils

A
(ii) Blue pencils cost x cents each.
Write down, in terms of x, the greatest number of blue pencils you can buy for 360 cents. similar to above
=number of blue pencils
(iii) Yellow pencils cost (x + 8) cents each.
= number of yellow pencils
(b) The number of blue pencils in part is 16 more than the number of yellow pencils
The number of blue pencils =360/x
Number of yellow pencils = 360/(x+8) +16

subtract 16 from both sides

Multiply by LCM
360(x+8)-16x(x+8)=360x

Cancel off 360x

divide by -16