A hiking trail is 7 miles long. Han hikes 1/2 of the trail and then stops for water. Jada hikes 2/3 of the trail then stops for water. a) How many did Han hike before stopping for water? b) How many did Jada hike before stopping for water?

Solved

Show answers

Ответ:

12345678954

26.02.2023

Mathematics

$432\ soles$

Step-by-step explanation:

The question in English is

Mr. Pablo must make payment for services. If he spends half of his money on electricity, with the third part of what he has left he pays for the gas and the water with the ⅚ of what he has left. How much money did he have at the beginning if after paying everything he still had 24 soles left?

Let

x ----> amount of money at the beginning

we know that

1) He spends half of his money on electricity

amount spent is----> $\frac{1}{2}x$

remaining money ---> $x-\frac{1}{2}x=\frac{1}{2}x$

2) With the third part of what he has left he pays for the gas

amount spent is----> $(\frac{1}{3})\frac{1}{2}x=\frac{1}{6}x$

remaining money ---> $\frac{1}{2}x-\frac{1}{6}x=\frac{2}{6}x= \frac{1}{3}x$

3) He pays for the water with the ⅚ of what he has left

amount spent is----> $(\frac{5}{6})\frac{1}{3}x=\frac{5}{18}x$

remaining money ---> $\frac{1}{3}x-\frac{5}{18}x=\frac{1}{18}x$

4) The remaining money is 24 soles

$\frac{1}{18}x=24$

solve for x

$x=18(24)=432\ soles$

0,0(0 оценок)

Ask your question to the AI advisor

Ai-bot is an expert in any field and is the perfect companion for reliable and useful answers and advice on a variety of topics, including science, history, technology, art, sports, health, culture and more.

Ask your question

More tips

Answers on questions: Mathematics

Ask an AI advisor a question

I want advice