United Telephone charges a base rate of 10.00 $f o r s e r v i c e, p l u s a n a d d i t i o n a l c h a r g e o f$ \ $0.25$ per minute. Atlantic Call charges a base rate of 12.00 $f o r s e r v i c e, p l u s a n a d d i t i o n a l c h a r g e o f$ \ $0.20$ per minute. For what number of minutes would the bills for each telephone company be the same?

40

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

20

No worries! We‘ve got your back. Try BYJU‘S free classes today!

60

No worries! We‘ve got your back. Try BYJU‘S free classes today!

30

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $40$
Let $x =$ the number of minutes.
A call made by United Telephone costs 10.00 $p l u s$ \ $0.25$ per minute: $10 + 0.25 x$ .
A call made by Atlantic Call costs 12.00 $p l u s$ \ $0.20$ per minute: $12 + 0.20 x$ .
Set the expressions equal to each other:
$10 + 0.25 x = 12 + 0.20 x$
$0.05 x = 2$
$x = 40$

Suggest Corrections

Similar questions

Q. A telephone company charges ₹0.05 per minute for local calls and ₹0.12 per minute for long distance calls. Which expression gives the total cost in rupees for "

x

" minutes of local calls and "

y

" minutes for long distance calls?

A telephone company charges Rs0.05 per minute for local calls and Rs0.12 per minute for long distance calls. Which expression gives the total cost in rupees for " $x$ " minutes of local calls and " $y$ " minutes for long distance calls?

A telephone company charges Rs. 0.05 per minute for local calls and Rs. 0.12 per minute for long distance calls. Which expression gives the total cost in rupees for " $x$ " minutes of local calls and " $y$ " minutes for long distance calls?

Q. A telephone company charges

x

cents for the first minute of a call and charges for any additional time at the rate of

y

cents per minute. If a certain call costs $5.55 and lasts more than 1 minute, which of the following expressions represents the length of that call, in minutes?

Q. The government has changed and the rates are revised. The fixed rental is raised to Rs 400 for every two months; but the number of free minutes is increased to 300. The slabs of charge remain the same. What would be the increase or decrease in telephone bill for a user who is talking for 1600 minutes?___

Join BYJU'S Learning Program

United Telephone charges a base rate of 10.00forservice,plusanadditionalchargeof\ 0.25 per minute. Atlantic Call charges a base rate of 12.00forservice,plusanadditionalchargeof\ 0.20 per minute. For what number of minutes would the bills for each telephone company be the same?

The correct option is B 40Let x= the number of minutes.A call made by United Telephone costs 10.00plus\ 0.25 per minute: 10+0.25 x.A call made by Atlantic Call costs 12.00plus\ 0.20 per minute: 12+0.20 x.Set the expressions equal to each other:10+0.25 x=12+0.20 x0.05 x=2x=40