math

posted by .

A charity organization is collecting change to raise monay. They have collected twice as many dimes as quarters, 22 more nickels than dimes, and 3 times as many pennies as nickels.
a) define a variable for the number of quarters collected.
b) use you defines variable to write algebraic expressions to represent the number of quarters,dime.nickels,and pennies collected.
c)if they have collected a total of 2134 coins, how much many of each coin have they collected?

  • math -

    a. X Quarters.

    b. 2x Dimes.
    (2x+22) Nickels.
    3(2x+22) Pennies.

    c. X + 2x +(2x+22) + 3(2x+22)=2134.
    X + 2x + 2x + 22 + 6x + 66 = 2134
    11x + 88 = 2134
    11x = 2046

    X = 186 Quarters.
    2x = 2*186 = 372 Dimes.
    2x+22 = 372 + 22 = 394 Nickels.
    3(2x+22) = 3 * 394 = 1182 Pennies.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. maths

    Class 5G is having a pizza party. Mrs Baker asked all the children to bring in 50c for their share of the pizza.The next day all the girls came with their 50c but Mrs Baker noticed that every girl had brought their 50c using different …
  2. Algebra

    Hi I was wondering if I could get some help on this word problem... Penny collected some change in preparation for a garage sale. She collected two more nickels that twice the number of dimes and eight fewer quarters that twice the …
  3. math

    can someone help explain how to do this? allen has nickels dimes and quarters in his pocket. the number of nickels is 1 more than twice the number of quarters. the number of dimes is 1 less than the number of quarters. if the value
  4. math

    grant's change rack contained $8.80 in quarters, dimes, and nickels. There were two more than five times as many nickels as quarters and four less than twice as many dimes as quarters. How many of each kind of coin was there in the …
  5. math

    A charity organization is collecting change to raise monay. They have collected twice as many dimes as quarters, 22 more nickels than dimes, and 3 times as many pennies as nickels. a) define a variable for the number of quarters collected. …
  6. MATH HELP

    A charity organization is collecting change to raise monay. They have collected twice as many dimes as quarters, 22 more nickels than dimes, and 3 times as many pennies as nickels. a) define a variable for the number of quarters collected. …
  7. math help

    A charity organization is collecting change to raise monay. They have collected twice as many dimes as quarters, 22 more nickels than dimes, and 3 times as many pennies as nickels b) use you defines variable to write algebraic expressions …
  8. Math

    A candy machine contains 5 times the number of nickels in dimes and is less than 16 the number of quarters. Total value is $12.80. How many are there nickels and dimes?
  9. algebra

    A family has a coin jar that is now full. The children count the change and calculate the total value to be $29.42. Let Q represent the number of quarters and use the information below to find the number of each coin. There are: 138 …
  10. math

    Every night when Isabella came home from work she put any change she had in her pockets into a jar. One day she wanted to know how much change she had in her jar. She noticed that she had two more nickels than twice the number of dimes, …

More Similar Questions