Question

Every pay period, Steven budgets 7/12 of his paycheck for expenses, 1/6 for savings, and the rest for recreation. His paycheck is $864.80.

How much money does Steven put aside for recreation each pay period?

CAN SOMEONE PLEASE HELP ME WITH THIS ONE I'LL GIVE YOU A MEDAL AND A FAN???

Answer 1

can someone please help me???

Answer 2

his expenses are 7/12
his savings are 1/6

his pay is $864.80

say..... \(\bf \cfrac{{\color{brown}{ 2}}\cdot 1}{{\color{brown}{ 2}}\cdot6}\implies ?\)

Answer 3

2/12???

Answer 4

CAN SOMEONE PLEASE HELP ME

Answer 5

so 2/12
meaning that 1/6 is really equals to 2/12 if you just simplify 2/12 you'd get 1/6

thus they're the same

so now we know that savings are 2/12

so Steven really 7/12 + 2/12 + "recreation money" = 864.80
so \(\bf \cfrac{7}{12}+\cfrac{2}{12}+{\color{brown}{ recreation}}=864.80\implies \cfrac{9}{12}+{\color{brown}{ recreation}}=864.80
\\ \quad \\
{\color{brown}{ recreation}}=864.80-\cfrac{9}{12}\)

Answer 6

hmm actaully lemme fix that some... should be a fraction of the quantity

Answer 7

\(\bf \cfrac{7}{12}(864.80)+\cfrac{2}{12}(864.80)+{\color{brown}{ recreation}}=864.80
\\ \quad \\
\cfrac{9}{12}(864.80)+{\color{brown}{ recreation}}=864.80
\\ \quad \\
{\color{brown}{ recreation}}=864.80-\cfrac{9}{12}(864.80)\)