Question

A packet of candles and a box of matches cost ₦420. The candles cost 6 times as much as the matches. Find the cost of the matches.

Please show the workings.
Thanks

Answer 1

x - price of candles
y - price of matches

x+y=420
x=6y

6y+y=420
7y=420
y=60

Matches cost ₦60.

Answer 2

Let's say
cost of packet of candles = a

cost of box of matches = b

Total cost = 420
a + b = 420

cost of candles = 6 times of cost of box of matches
a = 6 * b
a = 6b

a + b = 420
6b + b = 420
7b = 420
b = 60

so cost of matches = 60