Ani has 61 friends on Facebook, and gets 10 new friends per day.
Meanwhile, Magali has 82 friends, and gets 3 new friends per day.
If both Ani and Magali continue getting friends at the same rate, how many days will it take for them to have the same amount of friends, and how many friends must they BOTH have to achieve this?
We want to solve this
61 + 10D = 82 + 3D where D is the number of days we are looking for
subtract 3D, 61 from both sides
7D = 21 divide both sides by 7
D = 3 = number of days it will take to have the same number of friends
And the number of friends both them will have is just twice the number of friends that either will have = 2 [ 82 + 3*3] = 2 [ 82 + 9 ] = 2 [ 91 ] = 182
The days were correct, but the number of friends was incorrect.
This is for a sort of math game, Prodigy, not sure if you've ever heard of it.
The game gives pretty cryprtic hints. This is the hint for this paticular problem:
"We need to come up with 2 linear equations based off the question.
Allow y to equal the friends, and x to equal the number of days
\(y=10x+61\) is one of the equations.
Determine the other equation, then solve for x and y using substitution"
The substitution part is what's throwing me off here, I've never been able to do this properly.
Still, thanks anyway. As I said, the # of days was correct, but the friends are incorrect.
I think its easy to think about it the correct answer is 3 because 1st day A(ni) will have 71 2nd day 81 and 3rd day 91 and M(agali) 1st day will have 85 2nd day 88 and 3rd 91 but in matg we write this:
a(x)= 10x + 61
m(x)= 3x + 82
10,3 is friend per day and 61,82 friend now
We wont a(x) = m(x) so
10x +61 = 3x + 82 <=>
7x= 21 so x=3 so 3 days
And the friends both is 91+91= 182 friends both!
I hope I helped you!
I'm not sure why you guys kept doubling the number of friends you guys originally found, I just tried 91 friends each and it was correct.
Answer: 3 days to get 91 friends each.
Thank you for the help!
3 days to get TOTAL 91 each but i dont understand why you think 182 its false answer?
Well...the question is a little unclear....I took "both" to mean the sum...but maybe the question should be "each".....
No matter....each will have 91 and both will have 182 total