Help on this algebra 1 story problem please I dont get these.
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Help on this algebra 1 story problem please I dont get these.

[From: ] [author: ] [Date: 11-10-04] [Hit: ]
Come up wit a problem and solve.Grandma gave some baseball cards to Richey and some to Erin. She gave 5 times the amount to Erin as she did to Richey. If the total amount she gave to both of them was 420 cards, how many cards did she give to richey?-Erin has 5 times the amount of cards as Richey right?......
I dont understand how to lay out the problem so if you could explain that to me as well thanks! It would really help I have a test soon. Come up wit a problem and solve.

Grandma gave some baseball cards to Richey and some to Erin. She gave 5 times the amount to Erin as she did to Richey. If the total amount she gave to both of them was 420 cards, how many cards did she give to richey?

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Erin has 5 times the amount of cards as Richey right? So use the term 5x to represent the amount of cards Erin has, and the x to represent the amount of cards Richey has. Add both terms together and set them equal to 420.

5x + x = 420

6x=420

divide both sides by 6.

x=70

Since we already determined that Richey's cards are the equivalent of "x" then whatever equals X is the amount of cards Richey has.

To check your answer intuitively, you can multiply 70 or X by 5 and get how many cards Erin has. Then add another 70 to represent how much Richey has. This should give you 420.

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Since we want to find out how many cards Grandma gave to Richey, assign a variable, let's say x, to signify the number of cards.

x = # of cards (given to Richey)

Grandma gave 5 times the amount to Erin as she did to Richey, so Erin gets 5x which is 5 times the number of cards (given to Richey).

We know that the total amount of cards equals 420. So from that we can say that 5x + x = 420 because Erin gets 5x cards and Richey gets x cards so the total equals 420 cards.

5x + x = 420
6x = 420
x = 70

We said before that x equals the number of cards that Richey gets, so the final answer is 70. Grandma gave 70 cards to Richey.

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5x+x=420
6x=420
6x/6=420/6
x=70
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