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?
@apoorvk
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?
one?
I dont really know
is the answer 24?
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'?
No it isn't 24 really.. try this^
4?
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. :)
12?
Yes correct-o!!! feeling better now? :)
yes
Okay now the third one... You gave 7 one dollar bills, that is 7 dollars, or 700 cents right?
yes
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?
yes
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?
.25x+.10x=700
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
(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)
I got the rest. Thanks for the help
Great, could you solve no. 1 as well?
@wangkan07 ??
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