Question

1. Together, Amy, Barbara, and Stan have less than 20 baseball cards. Amy has more cards than Barbara, and Barbara has more than Stan. Amy gives Stan 3 cards, and Barbara gives him 2 cards. Then they all have the same amount of cards. How many baseball cards did each person get?
2. A log is partly buried in the mud. One third of the log is buried and 8 m of the log are above ground. What is the total length of the log?
3. At a bank, Joseph asked for change for 7 one dollar bills. The bank teller gave her an equal amount of dimes and quarters. How many of each coin did Joseph get?

Answer 1

@apoorvk

Answer 2

Okay so @wangkan07 let's start with the easiest one - #2.

If one-third of the log was buried, then what part of it is above the ground?

Answer 3

one?

Answer 4

I dont really know

Answer 5

is the answer 24?

Answer 6

Well okay let's do it this way.
Let the length of the log be 'x'.
Now one-third of the log is buried inside, that is (1/3)*x, or x/3 is buried

So, the part that remains above = x - (x/3)

And this part that's above, measures 8 meters, so:

x - (x/3) = 8


Can you solve this and find 'x'?

Answer 7

No it isn't 24 really.. try this^

Answer 8

4?

Answer 9

Nope... I think you are just too worked up and nervous- calm down and relax, this is pretty simple and you know can solve this :)

I derived and posted an equation above - try to read it again and understand it - you should be able to solve it. :)

Answer 10

12?

Answer 11

Yes correct-o!!! feeling better now? :)

Answer 12

yes

Answer 13

Okay now the third one...
You gave 7 one dollar bills, that is 7 dollars, or 700 cents right?

Answer 14

yes

Answer 15

And he got in return an equal number of dimes and quarters, say 'x' no. of each of them.
So the total amount he got back was x times 10 cents plus x times 25 cents - right?

Answer 16

yes

Answer 17

And the amount he got back, was obviously equal to the amount he gave to the bank-teller, that is 7 dollars, or 700 cents.
So, if I formulate an equation, what would that be?

Answer 18

.25x+.10x=700

Answer 19

actually, a wee bit of a mistake, since you're already using cents, you don't need to use " 0. 10" and "0.25"
Your equation would just be:

25x + 10x = 700

Answer 20

(Also, in case you wanted to keep the units in dollars, then your equation would have been" 0.10x + 0.25x = 7 - which is also equally correct)

Answer 21

I got the rest. Thanks for the help

Answer 22

Great, could you solve no. 1 as well?

Answer 23

@wangkan07 ??