1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lostsunrise [7]
3 years ago
9

Shauna spent $175 on a pair of shoes.She spent 1/9 of the remaining money on a shirt.If he still had 4/7of his moneyleft,how muc

h did he have at first
Mathematics
1 answer:
KIM [24]3 years ago
3 0

Answer:

$490

Step-by-step explanation:

Shauna spent $175 on a pair of shoes.

She spent 1/9 of the remaining money on a shirt.

If he still had 4/7 of his money left,how much did he have at first ?

Solution:

Let at first, Shauna have = x

Money spent on a pair of shoes = $175

Remaining money = x-175

<u>As she spent 1/9 of the remaining money on a shirt.</u>

Money spent on shirt = \frac{1}{9} \times(x-175)=\frac{x}{9} -\frac{175}{9}

As he still had \frac{4}{7} of his money left:-

Money left = \frac{4}{7}\ of\ his\ money=\frac{4x}{7}

Money left with Shauna = Total money, she had at first -(Money spent on a pair of shoes + Money spent on shirt )

\frac{4x}{7} =x-(175+{\frac{x}{9} -\frac{175}{9} )\\\\\\

\frac{4x}{7} =x-(\frac{175}{1} -\frac{175}{9} +\frac{x}{9} )\\\\ \frac{4x}{7} =x-(\frac{1575-175}{9} +\frac{x}{9} )\\\\ \frac{4x}{7}=x-(\frac{1400}{9} +\frac{x}{9} )\\ \\ \frac{4x}{7}=x-\frac{1400}{9} -\frac{x}{9}

Subtracting both sides by x and adding both sides by \frac{x}{9}

\frac{4x}{7} -x+\frac{x}{9} =-\frac{1400}{9} -x+\frac{x}{9} +x-\frac{x}{9}

Taking LCM of 7 and 9, we get 63

\frac{36x-63x+7x}{63} =-\frac{1400}{9} \\ \\ -\frac{20x}{63}=-\frac{1400}{9}

Adding both side by -

\frac{36x-63x+7x}{63} =-\frac{1400}{9} \\ \\ \frac{20x}{63}=\frac{1400}{9}

By cross multiplication:

20x\times9=1400\times63\\180x=88200\\

Dividing both sides by 180

x=490

Therefore, total $490, she had at first.

You might be interested in
Which is a solution to the system of inequalities? y≤-1/2x+3 y≥x+1
Serggg [28]

Answer:

y≤-1/2(x=4)+3

Step-by-step explanation:

4 0
3 years ago
"The sum of a number and 4."
kenny6666 [7]

Answer:

n + 4

Step-by-step explanation:

It´s like a normal sum, but since the number is unknown just put n.

7 0
3 years ago
Read 2 more answers
You earn $18 for watching three cars how much do you earn to Washing 2 cars
Sever21 [200]

Answer:

$12

Step-by-step explanation:

3 cars divide that by $18 and u get $6 per car. multiply that by two cars nd you get $12.

6 0
3 years ago
Which of the following polynomials is in standard form?
ASHA 777 [7]

Answer:

z5+z15-z3-4

hope it's correct

6 0
3 years ago
Read 2 more answers
Pls look at photos I’ll give 30 points
puteri [66]
You said you’d give 30 points but i only see 15 there ☹️
8 0
3 years ago
Other questions:
  • 3. A rectangular piece of paper has a length of 6 inches and a width of 3 inches.
    14·2 answers
  • Find the median and mode(s)of the data set 53,53.5,57,54,54.5,47,55,54.5​
    5·2 answers
  • 3/8 * 4 ____*____=_____=______
    9·1 answer
  • Our 6 Grade math class was comparing and different lemonade recipes,one used 2 cups of water to 1 scoop of mixture. The other us
    15·1 answer
  • What is the value of 106 ?
    5·2 answers
  • A flower garden has a length of 10.5 feet and a width of 4.4 feet.
    13·1 answer
  • Can someone PLEASE HELP this is due by the end on today and i cant figure out the First one and third one. In the first one we d
    10·1 answer
  • What's the slope of this line? Someone plz answer plz.
    7·2 answers
  • Ella played a math game and had the five cards shown.
    11·2 answers
  • Find the slope, or rate of change, from the following tables below. I will give 5 brainlist if you are right ;) ​
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!