Question

Write a linear equation in one variable for each of the following situations:

Answer 1

i. y = 4

ii. p = 45

iii. m = 5

Explanation:

(a) In triangle PQR, PQ = QR. So that,

Perimeter = PQ + PR + QR

40 = (2y + 3) + (5y - 2) + (2y + 3)

= 2y + 3 + 5y - 2 + 2y + 3

40 = 9y + 4

40 - 4 = 9y

36 = 9y

y =
`(36)/(9)`

y = 4

(b) The age of Rahim's father is p years. Since he is 29 years older than Rahim, we have;

p = 16 + 29

p = 45

Rahim's father is 45 years old.

(c) Cost of a chair = RM 5.90

Cost of m chairs = RM 5.90 x m

= RM 5.90m

Amount paid = RM 50 - RM 20.50

= RM 29.50

Thus,

RM 5.90m = RM 29.50

5.90m = 29.50

m =
`(29.50)/(5.90)`

= 5

m = 5

The number of units of chairs bought is 5.