# Math

posted by on .

Tickets to King Middle School play cost \$1 for King students and \$3 for everyone else. Rose, a student at King Middle School, went to the play with friends from another school. the group paid a total of \$13 for the tickets. How many friends went to see the play with Rose?

Answer must include a Let Statement, an equation, a proper solution (using Properties of Equality).

Would this answer be correct ?
Let X=friends

3a + 1 = 13
3a = 13-1
3a = 12
12/3 = 4

4 friends went to see the play with Rose

• Math - ,

yes you are correct

what is 1 + 4(3) ???

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I know, but wanted to be sure about the let statement, equation parts they were asking for. Thanks.

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Your "let" statement should be a complete English sentence with proper grammar

e.g.

let the number of friends that went with her be x
3x + 1 = 13
3x = 12
x = 4

So , four friends went with her.

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Ok.. Can u check these for me too please?

Rename each repeating decimal as a fraction in lowest terms. Using let statement, an equation, a proper solution (using properties of equality)

1) 0.87 (repeating nos are 87) So..
Let  X =    0.87
100X = 87.87
-      X =      0.87
____________
99X/99 = 87/99
X= 29/33

2) 0.5406 (repeating nos are 06)  So...
Let           X = 5406
10,000X = 5406.5406
-               X = 0.5406
________________________
9999X/9999 = 5406/9999
5406/9999 = 1802/3333
X= 1802/3333

3) 0.048 (repeating no is 8). So...
Let X =    0.048
1000X = 48.8
-100X=   4.8
_______________________
900X/900 =  44/900
X=11/225

4) 3.274 (repeating nos are 74)
I really don't get this one

• Math - ,

#2 is not correct, you should have checked your answer with a calculator

Here is the way I would do that one

let x = .54060606...
times 100, since 2 digits repeat
100x = 54.060606
subtract
99x = 53.52 , make sure you line up the decimals in the subtraction to see how I got that
x = 53.52/99 = 5352/9900
now reduce ...
= 446/825

on calculator: 446/825 = .54060606...

#4.
3.274 , just work on the decimal part

let x = .274747474..
times 100 , (remember why ? )
100x = 27.47474...
99x = 27.2
x = 27.2/99 = 272/990 = 136/495

now don't forget about the original whole number in front
3.274 = 3 136/495 as a mixed number
or
1621/495 as an improper fraction

check: 136/495

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math at klien school