Question
upstudy study bank question image url

Write an equation to represent ench situation and then solve it to answer the cusstion. A situation may require more than ons equation. (3) A rectangular pool has a width of 24 feet. A second rectangular pool has a perimeter of 48 feet, which is \( \frac{1}{3} \) the perimeter of the first pool. What is the length of the first pool? (4) The local firefighters collect toys to distribute at various give-away events. They have 4569 toys and will sponsor 129 give-away events. How many toys can they give away at each event? How many toys, if any, will be left over?

Ask by Chavez Chambers. in Germany
Mar 09,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

**(3) Length of the first pool:** - The first pool is 48 feet long. **(4) Toys per event and leftovers:** - Each event gets 35 toys. - 54 toys are left over.

Solution

Sign in to Unlock Answers for Free!

A Learning Platform Trusted by Millions of Real Students and Teachers.

star-icon Unlock

Answered by UpStudy AI and reviewed by a Professional Tutor

Extra Insights

To find the length of the first pool, we start with the perimeter formula for a rectangle, \( P = 2 \times (length + width) \). The first pool's width is 24 feet, so its perimeter, \( P_1 \), can be expressed as \( P_1 = 2 \times (L_1 + 24) \). The second pool has a perimeter of 48 feet, which is \( \frac{1}{3} \) of the first pool, so \( P_2 = 48 \) and we have \( P_1 = 3 \times 48 = 144 \). Now substituting into the equation for \( P_1 \): \( 144 = 2 \times (L_1 + 24) \) Dividing both sides by 2 gives: \( 72 = L_1 + 24 \) Subtracting 24 from both sides results in: \( L_1 = 72 - 24 = 48 \) Thus, the length of the first pool is 48 feet. For the toy giveaway situation, we need to divide the total number of toys by the number of events. The equation is: \( T = 4569 \div 129 \). Calculating this gives approximately \( T = 35.4 \). Since they cannot give away a fraction of a toy, we round down to 35 toys per event. To find out how many toys will be left over, we multiply the number of events by the number of toys given away per event: \( 129 \times 35 = 4515 \). Finally, we calculate the leftovers: \( 4569 - 4515 = 54 \). So, they can give away 35 toys at each event, with 54 toys left over.

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