Question
upstudy study bank question image url

Bill was paid R10 500 to build a cupboard for his neighbour. He gave a \( \frac{1}{5} \) of this money to his brother to pay back a debt. If a \( \frac{1}{6} \) of the paid amount was used to pay for supplies and \( \frac{1}{6} \) of the paid amount was used to pay his helper, how much of the R10 500 did Bill have left? [2] SELECT THE CORRECT ANSWER

Ask by Schneider Rose. in South Africa
Mar 12,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

Bill had R4,900 left after making the payments.

Solution

To find out how much of the R10,500 Bill had left after making the payments, we can follow these steps: 1. **Calculate the amount given to his brother:** \[ \text{Amount to brother} = \frac{1}{5} \times 10,500 \] 2. **Calculate the amount used for supplies:** \[ \text{Amount for supplies} = \frac{1}{6} \times 10,500 \] 3. **Calculate the amount paid to his helper:** \[ \text{Amount to helper} = \frac{1}{6} \times 10,500 \] 4. **Sum the amounts paid out:** \[ \text{Total paid out} = \text{Amount to brother} + \text{Amount for supplies} + \text{Amount to helper} \] 5. **Calculate the remaining amount:** \[ \text{Remaining amount} = 10,500 - \text{Total paid out} \] Now, let's perform the calculations step by step. ### Step 1: Amount to brother \[ \text{Amount to brother} = \frac{1}{5} \times 10,500 = 2,100 \] ### Step 2: Amount for supplies \[ \text{Amount for supplies} = \frac{1}{6} \times 10,500 = 1,750 \] ### Step 3: Amount to helper \[ \text{Amount to helper} = \frac{1}{6} \times 10,500 = 1,750 \] ### Step 4: Total paid out \[ \text{Total paid out} = 2,100 + 1,750 + 1,750 = 5,600 \] ### Step 5: Remaining amount \[ \text{Remaining amount} = 10,500 - 5,600 = 4,900 \] Thus, the amount Bill had left is **R4,900**.

Answered by UpStudy AI and reviewed by a Professional Tutor

error msg
Explain
Simplify this solution

Bonus Knowledge

First, let's break down the amounts Bill spent. He gave \( \frac{1}{5} \) of R10,500 to his brother, which amounts to R2,100 (since \( R10,500 \times \frac{1}{5} = R2,100 \)). For supplies, he used \( \frac{1}{6} \) of R10,500, totaling R1,750 (because \( R10,500 \times \frac{1}{6} = R1,750 \)). The same applies to the amount he paid his helper, another R1,750. Now, adding up these expenses: R2,100 (brother) + R1,750 (supplies) + R1,750 (helper) = R5,600. Finally, to find out how much Bill has left, we subtract this total from the initial payment: R10,500 - R5,600 = R4,900. So, Bill has R4,900 left.

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy