Ricki has a prepaid cellphone.last week Ricki made 4 call and sent 20 text messages which cost him $4. This week he made 10 calls and sent 5 text messages which cost him $5.50. Write a system describing the number of calls, c, and the number of text messages, t, that Ricki made over the past two weeks

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Answer:

[tex]4c+20t=4.00...(1)[/tex]

[tex]10c+5t=5.50...(2)[/tex]

Step-by-step explanation:

Let c be cost of each call and t represent cost of each text message.

We have been given that last week Ricki made 4 call and sent 20 text messages which cost him $4.

Cost of 4 calls would be [tex]4c[/tex].

Cost of 20 text messages would be [tex]20t[/tex]

Total cost id $4.00.

We can represent this information in an equation as:

[tex]4c+20t=4.00...(1)[/tex]

We are also told that this week he made 10 calls and sent 5 text messages which cost him $5.50.

Cost of 10 calls would be [tex]10c[/tex].

Cost of 5 text messages would be [tex]5t[/tex]

Total cost id $5.50.

We can represent this information in an equation as:

[tex]10c+5t=5.50...(2)[/tex]

Therefore, our required system would be:

[tex]4c+20t=4.00...(1)[/tex]

[tex]10c+5t=5.50...(2)[/tex]