Taji has a total of 98 quarters and dimes. their value is $18.20 how many quarters does taji have?
1 answer
Question:
taji has a total of 98 quarters and dimes. their value is $18.20 how many quarters does taji have?
Answers
Answer:Taji has a total of 56 quarters. Step-by-step explanation:Let x be the number of quarters that Taji has. Amount in terms of quarter [tex]=0.25 \times x[/tex] Let y be the number of dimes that Taji has. Amount in terms of quarter [tex]=0.10 \times y[/tex] As per question statement: [tex]x + y = 98 ...... (1)[/tex] Total amount is $18.20 as given in the question statement. [tex]\Rightarrow 18.20 = 0.25 \times x + 0.10 \times y\\\Rightarrow 25x + 10y = 1820 ...... (2)[/tex]Solving equations (1) and (2): Multiplying equation (1) by 10 and subtracting from equation (2): [tex]25x + 10y -10x -10y= 1820 - 980\\\Rightarrow 15x = 840\\\Rightarrow x = 56[/tex] x is the number of quarters that Taji has.So, Taji has a total of 56 quarters.
Similar Solved Questions
2 answers
A Hare was making fun of the Tortoise one day for being so slow. Do you ever get anywhere?" he asked with a mocking laugh. "Yes," replied the Tortoise, "and I get there sooner than you think. I'll run you a race and prove it The Hare was much amused at the idea of running a race with the Tortoise, but for the fun of the thing he agreed. So the Fox, who had consented to act as judge, marked the distance and started the runners off. The Hare was soon far out of sight, and to make the Tortoise feel
A Hare was making fun of the Tortoise one day for being so slow. Do you ever get
anywhere?" he asked with a mocking laugh.
"Yes," replied the Tortoise, "and I get there sooner than you think. I'll run you a race
and prove it
The Hare was much amused at the idea of running a race with the Tortoise, b...
2 answers
Which of the following is an example of a cultural change that occurred due to interaction between the Europeans and the Native Americans?
Which of the following is an example of a cultural change that occurred due to interaction between the Europeans and the Native Americans?...
1 answer
You can design an effective search plan by using the mnemonic device, SEARCH. What is the first step in the process?
You can design an effective search plan by using the mnemonic device, SEARCH. What is the first step in the process?...
2 answers
What type of government should rule high schools
What type of government should rule high schools...
2 answers
Read the sentence. In a feeding frenzy, the pigeons descended upon the breadcrumbs that the kindly old man on the park bench continued to toss. Which is a correct analysis of the sentence
Read the sentence. In a feeding frenzy, the pigeons descended upon the breadcrumbs that the kindly old man on the park bench continued to toss. Which is a correct analysis of the sentence...
1 answer
Matt's den is 10 feet longer than it is wide. If the dents area is 231 square feet, what are the dimensions of the room? The dimensions of the room are ft. (Use a comma to separate answers as needed.)
Matt's den is 10 feet longer than it is wide. If the dents area is 231 square feet, what are the dimensions of the room?
The dimensions of the room are
ft.
(Use a comma to separate answers as needed.)...
1 answer
What is the difference between regular reflection and diffuse reflection?
What is the difference between regular reflection and diffuse reflection?...
2 answers
What is 574,999 rounded to the nearest hundred thousand?What is 464,943 rounded to the nearest ten thousand?
What is 574,999 rounded to the nearest hundred thousand?What is 464,943 rounded to the nearest ten thousand?...
1 answer
A bank guarantee that is requested by a beneficiary to ensure that the contractor is bidding in good faith and will enter the contract if awarded is called a a. performance guarantee. b. repayment guarantee. c. maintenance guarantee. d. tender guarantee.
A bank guarantee that is requested by a beneficiary to ensure that the contractor is bidding in good faith and will enter the contract if awarded is called a a. performance guarantee. b. repayment guarantee. c. maintenance guarantee. d. tender guarantee....
2 answers
In one season a basketball team won 50 games and lost 40 games what is the ratio of games won to games lost
In one season a basketball team won 50 games and lost 40 games what is the ratio of games won to games lost...
1 answer
Please help! Will mark the brainliest!! In Jane Hirschfield's poem "Tin", what does the title mean or try to express?
Please help! Will mark the brainliest!!
In Jane Hirschfield's poem "Tin", what does the title mean or try to express?...
2 answers
6x+3y=15 for y.What does y equal if x=2?if x=5?
6x+3y=15 for y.What does y equal if x=2?if x=5?...
2 answers
Would carbon-14 or uranium 235 be better to use in dating a fossil from Precambrian
Would carbon-14 or uranium 235 be better to use in dating a fossil from Precambrian...
2 answers
Who is the only woman to have received the congressional Medal of Honor?
Who is the only woman to have received the congressional Medal of Honor?...
1 answer
Traslate the following equation into a verbal sentence x+5=2(7+x)
traslate the following equation into a verbal sentence x+5=2(7+x)...
2 answers
60 POINTS FOR ANSWERING THIS QUESTION LOOK BELOW FOR SCREENSHOT!!!
60 POINTS FOR ANSWERING THIS QUESTION LOOK BELOW FOR SCREENSHOT!!!...
1 answer
Which of the following is the proper operation of 3/7
which of the following is the proper operation of 3/7...
1 answer
The early forms of notes in the Middle Ages are called
the early forms of notes in the Middle Ages are called...