6th grade math, easy right?

Question

I was absent today and I got my work And I need help with math. I have done the work but I am not sure I did it correctly. Please help!!
Choose a strategy to solve each problem.

1. The pep club sells shirts with the school logo. The shirts come with long or short sleeves. The color choices are orange, green, purple and blue. How many different styles are there?

2. Find two consecutive numbers whose product is 399. hint: 11 and 13 are consecutive #'s.

3. ESTIMATION: You spend $12.50 a year for a pass to school events. If you attend 7 events, is your cost higher or lower then $1.50 an event?

4. A chorus teacher can arrange singers in rows of 10, 12 or 15 with none left over. what is the least possible number of singers in the chorus? (60, right?)

Thank you
Alayna Catherine Michelle Hamilton

Answer 1

1)

2 choices of sleeves

4 choices of color

So, you have a total of 2*4 = 8 styles



2)

Do you mean consecutive ODD numbers?



399 = 19 * 21



3)

7 x 1 = 7

7 x 2 = 14



12.50 is closer to 14 than it is 7, so it's higher than $1.50 per event.



(12.50 / 7 = 1.79 per event.)



4)

10 = 10, 20, 30, 40, 50, 60....

12 = 12, 24, 36, 48, 60....

15 = 15, 30, 45, 60...



the answer is 60.

Answer 2

1) You have 2 choices for the sleeve type and 4 choices for the color.

2*4 = 8



2) Your hint is wrong. 11 and 13 are not consecutive numbers.

11 and 12 would be an example of consecutive numbers.

Maybe you mean consecutive odd numbers. In that case, you could let n and n+2 be the two numbers, then

n(n+2) = 399

n^2 + 2n = 399

n^2 + 2n - 399 = 0

Factor.

(n-19)(n+21) = 0

n - 19 = 0 or n + 21 = 0

n = 19 or n = -21

19 & 21 or -21 & -19



3) Take 7 times 1.50. This equals 10.50. Is 10.50 less than 12? Yes, that means your event cost is more than $1.50 per event.



4) 60 is right.

It is the least common multiple of 10, 12 and 15

Answer 3

1) make a chart, lo lg lp lb so sg sp sb, or you could multiply the numbers of options together, either way you get 8 options

2) subtract 1 from 399 and divide by 2 then that gives you one number, the other number you would find by adding the 1 back 199 and 200

3) 12.50 is greater than half the difference between 7 and 14 so each event would cost between 1.50 and 2 so it would cost more than 1.5 per event

4) 37, that way there is a full row, the question was never posed that more than 1 row of each had to be filled

Answer 4

Hrmmm...I'm in 6th grade too...but its A LOT harder than this.



1. If there are 4 colors, and each one comes in 2 styles, all you have to do is 4*2. The answer is 8.

2. Consecutive numbers seem to be numbers that aren't divisible by anything...I'm too lazy to work this one out.

3. Higher

4. 15*5=60

Answer 5

1. 4 colors x two styles= 8 differents styles

2. 399/2= 199 1/2

So, 199+200=399

3. 7 x 1.5=10.50, which is is higher

4. yes

Answer 6

1.two sleeves * 4 colours = 8



2. numbers are close to sqrt(400) = 20

19* 21 = 399



3. $1.50 * 7 = 10.50 so your cost is higher



4. yes 60



ps .. I suggest you dont put your full name up on the internet.

Answer 7

1) 8

2) Too hard

3)10.5, lower

4)20, two rows of ten