# math

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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.

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