Question

Bob has 19 Pokemon cards. Suzy has an unknown number. Joe has 1/4 of the number that Bob+Suzy have. There are 35 cards altogether. How many does Suzy have?
I need Help my friend gave me this question and I don't know how to solve It Please Help... I'll give a Medal and Fan you!! <3

Answer 1

And also can someone show me how to solve it step by step?? <3

Answer 2

Pokemon cards?!

Answer 3

the way id do it...make an equation for the sentence "Joe has 1/4 of the number that Bob+Suzy have."

call joe j and suzy x

1/4(19+x)=j

and in total they have 35 cards so

19+j+x=35

now we have two equations

Answer 4

j is solved for in the first equation so we can take that and plug it into the second one for j

19+1/4(19+x)+x=35

now can you solve for x?

Answer 5

yes I can solve :)

Answer 6

is 19 + 1/4 = 19 1/4? @CalebBeavers

Answer 7

okay I don't get it?

Answer 8

The 1/4 is being multiplied, distribute it into the parentheses

Answer 9

so 19/1 * 1/4

Answer 10

4 3/4?

Answer 11

Multiply straight across 19/4

and also multiply it by the x so we have

19+(19/4)+(1/4)x+x=35

Answer 12

Now just combine like terms and isolate x

19+(19/4)+(5/4)x=35
95/4+(5/4)x=35
(5/4)x=45/4

x=(45/4)*(4/5)

Answer 13

/Ok Let B = Bob, J = Joe and S = Suzy
B = 19
S = x
J = (1/4) (x+19)

Together they have 35:
19+x+(1/4)(x+19) = 35
19 + x + x/4 + 19/4 = 35 and solve for x :) :

5x/4 + 95/4 = 35
5x/4 = 35 - 95/4
5x/4 = 45/4
5x = 45
x = 9


Then just substitute the value for x for each person: we get that x= 9
So S = x = 9