A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
Joe has a collection of nickels and dimes that is worth $2.10. If the number of dimes was tripled and the number of nickels was increased by 24, the value of the coins would be $5.70. How many nickels and dimes does he have?
anonymous
 5 years ago
Joe has a collection of nickels and dimes that is worth $2.10. If the number of dimes was tripled and the number of nickels was increased by 24, the value of the coins would be $5.70. How many nickels and dimes does he have?

This Question is Closed

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0This is a two variable two equation type problem. The first one is .05x + .10y = 2.10 where x is the number of nickels and y is the number of dimes. Ex. if you had 7 nickels and 8 dimes you would take .05 times 7 to find the value of the nickels (.35) and .10 * 8 to get the value of the dimes (.80) and then add them together to get the value of the coins. 2nd equation would be .05(x + 24) + .10(3y) = 5.70 so .05x + .10y = 2.10  multiply every term by 100 to get rid of decimals 5x + 10Y = 210 2nd equation .05(x + 24) + .10(3y) = 5.70 distribute .05x + 1.20 + .30y = 5.70 I would multiply all terms by 100 to get 5x + 120 + 30y = 570 subtract 120 from each side 5x + 30y = 450 So you have 5x + 10y = 210 5x + 30Y = 450 subtract the bottom which means to change the signs on every term on the bottom 5x + 10Y = 210 5x 30Y = 450 Add.. x's are gone leaving you 20Y = 240 divide by 20 Y = 12 Substitue Y = 12 into any equation and solve for X 5x + 10Y = 210 5X + 10(12) = 210 5X + 120 = 210 5X = 90 X = 18 So 18 nickels and 12 dimes
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.