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Mathematics 14 Online
crispyrat:

math help ss below :)

crispyrat:

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crispyrat:

oh wait (r-1)/(r+b-1)=1/7 (b-2)/(r+b-2)=1/5 ok yea

TurtlePrincess:

Correct so what you will do is Cross multiplying for each yields\begin{align*}7r-7=r+b-1&\implies 7r-6=r+b\\ 5r=r+b-2&\implies 5r+2=r+b.\end{align*}We can equate each of these expressions to yields\[7r-6=5r+2\implies 2r=8\implies r=4\implies b=18.\]Therefore, the total number of marbles is \[R+b=4+18=?\]

crispyrat:

22! but how did u cross multiply :p sorry

TurtlePrincess:

Correct and do you mean in general cross multiply or cross multiply this problem?

crispyrat:

in this problem

crispyrat:

wait so if u cmultipled everything by 7 for lets say the first one then wouldn't it be 7r−7=r+b−1+1 cus 1/7*7=1 or am i missing something xp

TurtlePrincess:

Cross Multiplying with Two of the Same Variable. Multiply the numerator of the left-hand fraction by the denominator of the right-hand fraction. Let's say you're working with the following equation: (x + 3)/2 = (x + 1)/4 I beleive

crispyrat:

hmm i see so (r-1)/(r+b-1)=1/7 would i multiply everything by 7 sorry im a bit confused

Angle:

\(\huge \frac{r-1}{r+b-1} =\frac{1}{7}\) \(\rightarrow\large (7)(r-1) = (r+b-1)(1)\)

crispyrat:

oh i see ok thanks yall

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