Question

Lana has $60. She spends 80% of the money. She then invests the remaining amount and earns a profit of 80%. How much money does have? $86.40 $9.60 $60 $21.60

          Lana has $60. She spends 80% of the money. She then invests the remaining amount and earns a profit of 80%. How much money does have?
$86.40
$9.60
$60
$21.60

Lana has 60. She spends 80% of the money. She then invests the remaining amount and earns a profit of 80%. How much money does have?86.40
9.6060
21.60

Added by Johnny G.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Donna Densmore

10/27/2023

Step 1

Step 1: Calculate the amount of money Lana spends: $60 * 80% = $48 Show more…

Show all steps

lock

Thanks for your feedback!

Lana has $60. She spends 80% of the money. She then invests the remaining amount and earns a profit of 80%. How much money does have? $86.40 $9.60 $60 $21.60

Play audio

Feedback

Powered by NumerAI

Donna Densmore and 66 other subject Algebra educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Recommended Videos

Recommended Textbooks

Transcript

00:01 So we have angela who wants some money, then she's going to spend some and give some to chloe, and then she's going to end up giving something to pamela.

00:09 Well let's see how much she's going to end up...

00:12 How much did angela have to begin with? well let's start with x.

00:16 Okay, so now she's going to spend 120 of that, so we're going to decrease that by 120.

00:22 Now she's going to give 60 % of what she has left to chloe, so that means she's going to take 60 % of this, .6, and give that to chloe.

00:34 So now chloe has .6 of what angela had.

00:39 So what's chloe going to do? she's going to spend $80, so we're going to decrease that by 80.

00:47 Now she's going to give half of what's remaining to pamela.

00:52 So pamela, she's going to take half of this, which is .5, and give that to pamela.

00:58 So now pamela has .5 of this .6, x minus 120, minus 80.

01:05 Now what's pamela going to do? pamela's going to spend half of that.

01:11 So she's going to spend half of this amount, well what's half of that? i don't know.

01:17 We're going to take one half of that amount.

01:20 So i'm going to need to get a little more room here.

01:22 One half of that .5, .6, x minus 120, minus 80.

01:31 So she's going to spend half of that.

01:33 So there we go, that goes in that parenthesis there.

01:36 So now what? she's left with one, what is it? i'm looking, i have to re -look at the problem, let me find the problem again.

01:50 And she's left with one tenth of what angela won.

01:57 Well what did she win? she won x amount.

02:01 So when she, that means this expression is going to have to equal one tenth of what angela won.

02:06 So now we have an equation.

02:09 Let's go get that all simplified out.

02:12 So i'm going to come over here and i'm going to just say .5, that's going to be .6 x minus 720...

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later