Matt M. answered • 02/25/18
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Former Research Scientist: Programming, Math, and Science Tutor
Total price = Base rate + data cost
data cost = His data cost + her data cost
His data cost = data cost * 0.6
You now have 3 equations and 3 unknown variables. Plug in what you know and get calculating to find the answer.
Matt M.
I cannot really do much more than solve the problem at this point so I will.
I've given you the 3 equations you need. We'll start with the first one.
Total price = Base rate + data cost
We can plug in from the question:
125 = 82 + data cost ....... therefore..... 125 - 82 = data cost .......... therefore.... data cost = 43
Let's jump to the last equation next, plugging in the data cost from above
his data cost = (43) * (0.6) ..... therefore his data cost = 25.8
Ok second equation. Plugging in what we know
43 = 25.8 + her data cost .... therefore 43 - 25.8 = her data cost .... therefore her data cost is 17.2
This is an example of what I call the golden rule of algebra. (my term, no idea if anyone else calls it that)
"If you have n unknown variables and and n or more equations, you can solve all the way to values via subsitution, otherwise you will be left defining variables by other variables." -Me
P.S. capslock is considered bad manners. I literally read the message as if you are shouting it, which in this context is kind rude because i'm trying to help you. Cheers!
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02/25/18
Edelto V.
Thanks so much Mr Matt. I am sorry about the capslock. It was unintentional. You are right. It is not proper. I just didn't notice. too engrossed in this problem here. One thing though. The question is: what was the payment per person/ how much did each have to pay?.
Can I take the cost of data usage per person as a total final payment from each person?. In other words, can the word 'payment' in the question be replaced by the cost of data usage?.
please, if you could explain that, it would be appreciated. the explanation of the equations is clear, though.
thanks so much!
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02/25/18
Edelto V.
I thought that if I subtracted $ 82 ( the base monthly rate) from 125 the total price to be paid for the month what I would get would be the amount of data left, in this case, 43. But you said 43 was the data cost, that is what confounded me a bit.
the amount of data left
43 x 0.6 (the amount that he used)=25.8
25.8 + 41(half of the bill paid by the man)=66.8
so, he payed 66.8
So, 125 - 66.8 =58.20 which is the amount that she had to pay.
if you add 66.8 and 58.20 we'll get 125 which the total amount paid this month.
if you add 66.8 and 58.20 we'll get 125 which the total amount paid this month.
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02/25/18
Edelto V.
02/25/18