Word Problem on Proportions

[crappiefisher26]

Kevin earned $165 interest for 1 year on an investment of $1500. At the same rate, what amount of interest would be earned by and investment of $2500.

165/1500=2500/x

i then cross multiplied

1500 times 2500 and got 3,750,000

then got 3750000/165

x=22727.27273

would that be right? if not let me know what i did wrong so i can fix it, would x= simplify to $22,727

 

[TchrWill]

Kevin earned $165 interest for 1 year on an investment of $1500. At the same rate, what amount of interest would be earned by and investment of $2500.

165/1500=2500/x

i then cross multiplied

1500 times 2500 and got 3,750,000

then got 3750000/165

x=22727.27273

would that be right? if not let me know what i did wrong so i can fix it, would x= simplify to $22,727

You started out right but got switched in mid stream.

Assuming simple interest, 166/1500 = x/2500

I'm sure you can take it from here.

 

[Denis]

Kevin earned $165 interest for 1 year on an investment of $1500. At the same rate, what amount of interest would be earned by and investment of $2500.
165/1500=2500/x
i then cross multiplied
1500 times 2500 and got 3,750,000
then got 3750000/165
x=22727.27273
would that be right? if not let me know what i did wrong so i can fix it, would x= simplify to $22,727

Crappy, use a bit of common sense:
are you ready to pay me $22,727 in interest if I lend you $2,500 for a year :?: :shock:

 

[Mrspi]

Kevin earned $165 interest for 1 year on an investment of $1500. At the same rate, what amount of interest would be earned by and investment of $2500.

165/1500=2500/x

i then cross multiplied

1500 times 2500 and got 3,750,000

then got 3750000/165

x=22727.27273

would that be right? if not let me know what i did wrong so i can fix it, would x= simplify to $22,727

You made a common mistake in setting up the problem. Your first fraction is

interest / investment
165 / 1500

Shouldn't the second fraction be set up the same way?

interest / investment
x / 2500

NOW the two fractions are equal, and you can proceed to solve by cross-multiplying:

165 / 1500 = x / 2500

1500x = 165(2500)

See if this gives you a more reasonable answer.