(QUEESTION 1)
In view of the soccer fever, the PE department bought x identical soccer balls for $450.If the price of each ball was reduced by $3, they would have bought 5 more balls.
(a) write down the price of each ball
(b) write down the price of each ball if there was a reduction, giving your answer in a single fraction.
(c) form an equation in x and show that it reduces to x^2 + 5x - 750
(e) find the price of each ball. How much would the balls have cost him in total if there was a reduction?
(QUESTION 2)
Solve the following equation :
1/x-1 + 1/x+2 = 1/2
(QUESTION 3)
A sum of money was shared among A, B and C such that C receives 2/5 of the sum and the remainder was shared among A and B in the ratio of 2:3.
(a) find the ratio in A, B and C.
(b) If C received $160 more than B, find the total sum of money.
(QUESTION 4)
A packet of sweets were divided into two parts in the retio 5:8. The smaller portion was again divided into two parts in the ratio 3:7. Jane got the smallest of these parts and she had 12 sweets. What was the total number of sweets in the packet?
1. let the number of balls purchased by x
cost per ball = 450/x
at new price , cost per ball = 450/(x+5)
450/x - 450/(x+5) = 3
times x(x+5)
450x + 2250 - 450x = 3x^2 + 15x
3x^2 + 15x - 2250 = 0
x^2 + 5x - 750 = 0 -----> the suggested equation, which factors to
(x-25)(x+30) - 0
x = 25 or x = -30, which makes no sense
x = 25
original price of ball = 450/25 = 18
2.
I will assume you mean
1/(x-1) + 1/(x+2) = 1/2
multiply both sides by 2(x+2)(x-1)
2x+4 + 2x-2 = x^1 + x - 2
x^2 - 3x - 4 =0
(x-4)(x+1) = 0
x = 4 or x = -1
3. and 4.
you give it a try. Tell me where you are running into difficulties.