# Math

A charity organization is collecting change to raise money. They have collected three times as many dimes as quarters, 11 more nickels than dimes, and 2 times as many pennies as nickels.

Let x represent the number of quarters. Write an expression to represent the number of dimes.
Write an expression to represent the number of nickels.
Write an expression to represent the number of pennies.
If they have collected a total of 4,453 coins, how many of each coin have they collected?

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1. 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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2. No... that is absolutely wrong.

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3. p = 2n
n = d+11
d = 3x
n = 3x+11
p = 2(3x+11) = 6x+22
p+n+d+x = 4453
6x+22 + 3x+11 + 3x + x = 4453
13x + 33 = 4453
13x = 4420
x = 340
So, we have
340 quarters
1020 dimes
1031 nickels
2062 pennies
check: 340+1020+1031+2062 = 4453

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4. In one physical education class, 5/8 of the students were playing basketball. After 3 more students joined, 18 students were playing basketball. Which equation represents how many students are in the class?

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5. Is this for connections academy?

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