• anonymous
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?
  • Stacey Warren - Expert
Hey! We 've verified this expert answer for you, click below to unlock the details :)
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
  • chestercat
I got my questions answered at in under 10 minutes. Go to now for free help!
  • anonymous
This 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

Looking for something else?

Not the answer you are looking for? Search for more explanations.