Her sister contributed $280
Step-by-step explanation:
Bianca her brother and her sister pooled their money to buy a console and some games together
We need to find how much her sister contributed
Assume that her sister gave $x
∵ Bianca gave [tex]\frac{1}{8}[/tex] as much as her sister
∵ Her sister gave x
- Multiply x by [tex]\frac{1}{8}[/tex]
∴ Bianca gave [tex]\frac{1}{8}[/tex] x
∵ Her brother gave $17 fewer than her sister
- Subtract 17 from x to find her brother amount
∴ Her brother gave x - 17
∴ They gave = x + [tex]\frac{1}{8}[/tex] x + (x - 17)
- Add like terms
∴ They gave = (x + [tex]\frac{1}{8}[/tex] x + x) - 17
∴ They gave = [tex]\frac{8}{8}[/tex] x + [tex]\frac{1}{8}[/tex] x + [tex]\frac{8}{8}[/tex] x - 17
∴ They gave = [tex]\frac{17}{8}[/tex] x - 17
∵ They had $578
- Equate the expressions above by 578
∴ [tex]\frac{17}{8}[/tex] x - 17 = 578
- Add 17 to both sides
∴ [tex]\frac{17}{8}[/tex] x = 595
- Divide both sides by [tex]\frac{17}{8}[/tex]
∴ x = 280
Her sister contributed $280
Learn more:
You can learn more about the word problems in brainly.com/question/10557938
#LearnwithBrainly
