Find Tuition/Enrichment Centres

AskQ logo

STUCK ON HOMEWORK?

ASK FOR HELP FROM OUR KIASUPARENTS.COM COMMUNITY!

Question

Answer

a) Total vehicles → 125 + 3p + 2q + 20
= 145 + 3p + 2q

Ratio of motorcyles is to total number of vehicles → 3 : 40

3p / (145 + 3p +2q) = 3 / 40
120p = 435 + 9p + 6q
111p – 6q  = 435

b) Ratio of buses is to total number of vehicles → 1 : 10

20 / (145 + 3p + 2q) = 1 / 10
200 = 145 + 3p + 2q
3p + 2q = 55

c) 111p – 6q  = 435 — (1)
3p + 2q = 55 — (2)

(2) × 3: 9p + 6q = 165 — (3)

(1) + (3): 120p = 600
p = 5

Sub p = 5 into (2):
15 + 2q = 55
2q = 40
q = 20

1 Reply 0 Likes

Answer for part a and part b is wrong. 

Correct answer:

a) 37p-2q-145=0

b) 3p+2q-55=0

1 Reply 0 Likes

They’re correct. For part a) I did not reduce it to the simplest form but it’s not needed. The two equations are the same.

For part B, it is the exact same equation with just the 55 shifted over.

To clarify, there are many ways to express the same equation. You need the equations in part a) and b) to solve for part c). So if part a) and b) are wrong, I wouldn’t be able to arrive at the correct answer.

0 Replies 0 Likes
Find Tuition/Enrichment Centres