Question

This year the telephone bill for the first shop was $520 less than four times the telephone bill for the first shop the total telephone expensive for both shops was $2985 what was the cost of each shops telephone service for the year?

Answer 1

The telephone expense for first shop is $2284 and for second shop is $701.

Explanation:

Let the telephone expense for first shop be x.

Also Let the telephone expense for second shop be y.

Given:

The total telephone expensive for both shops was $2985.

Hence,

`x+y = 2985 \ \ \ \ equation \ 1`

Also given:

the telephone bill for the first shop was $520 less than four times the telephone bill for the Second shop.

Hence the equation can be framed as;

`x=4y-520`

Substituting the value x in equation 1 we get;

`x+y=2985\\4y-520+y=2985\\5y= 2985+520\\5y =3505\\y= (3505)/(5) = 701`

Substituting the value of y in equation 1 we get;

`x+y=2985\\x+701=2985\\x= 2985-701\\x=2284`

Hence The telephone expense for first shop is $2284 and for second shop is $701.