QR question

[151AND8TH]

Advertisement - Members don't see this ad

This one I have no idea how to se it up
...
jane has $60 in the piggy bank jake has $135 in his. They both recieve $5 allowanve every week. jane saves all of her allowance while jakes spends all of his allowance plus an additional $10 per week. in how many weeks will they have the same amount of money?

I started working it out by listing the 2 amounts and adding 5 for jane while taking away $15 for jake. I am thinking the answer would be around 3.5 weeks.. please help me set it up

 

[z3u2]

This one I have no idea how to se it up
...
jane has $60 in the piggy bank jake has $135 in his. They both recieve $5 allowanve every week. jane saves all of her allowance while jakes spends all of his allowance plus an additional $10 per week. in how many weeks will they have the same amount of money?

I started working it out by listing the 2 amounts and adding 5 for jane while taking away $15 for jake. I am thinking the answer would be around 3.5 weeks.. please help me set it up

u should set it up with "adding 5 for jane" and "taking away 10 for jake" each week (not -15 per week)

in five weeks
jane will have $85
jake will have $85 as well

 

[Streetwolf]

This one I have no idea how to se it up
...
jane has $60 in the piggy bank jake has $135 in his. They both recieve $5 allowanve every week. jane saves all of her allowance while jakes spends all of his allowance plus an additional $10 per week. in how many weeks will they have the same amount of money?

I started working it out by listing the 2 amounts and adding 5 for jane while taking away $15 for jake. I am thinking the answer would be around 3.5 weeks.. please help me set it up

Well there's no difference with allowance (add 5 to both) so it's just how much they spend. There's a $75 difference in how much they have initially. Each week Jane doesn't have a change in her money and Jake spends $15 ($5 + $10 extra). So each week Jane is $15 closer to Jake. And with $75 difference, it will take 5 weeks to catch up.

 

[151AND8TH]

Thanks guys.. I now get it.. can i assume that for those types of questions, no formulae exist?

Streetwolf, you answered this question in less than 30 sec i suppose.. because of the method that you applied. If you were to come up with a formula would it be similar to that of d=rt?

 

[z3u2]

you can set it up as

135 - 10x = 60 + 5x

solve for x, which is the number of weeks

 

[151AND8TH]

you guys are gods of SDN.. streetwolf as a companion in saving SDNer. 🙂

 

[Dion]

I say in 5 weeks:
Jane has 60 initally and gets and additional 5 per week to save

Jane: 60 + 5 (x)

Jake starts off with 135 and loses 10 per week
Jake: 60 -10(x)

The week is represented by x. So i keep plugging in numbers for x: 1,2,3,4,5 until both answers came out to the same: 85