Carcass wrote:
Beth, Naomi, and Juan raised a total of $55 for charity. Naomi raised $5 less than Juan, and Juan raised twice as much as Beth. How much did Beth raise?
A. $9
B. $10
C. $12
D. $13
E. $15
Let B = the amount that Beth raisedJuan raised twice as much as BethSo, 2B = the amount Juan raised
Naomi raised $5 less than JuanSo, 2B - 5 = amount Naomi raised
Beth, Naomi, and Juan raised a total of $55In other words: (Beth's amount) + (Naomi's amount) + (Juan's amount) = 55
Substitute to get: B + (2B - 5) + 2B = 55
Simplify: 5B - 5 = 55
Add 5 to both sides of the equation: 5B = 60
Divide both sides by 5 to get: B = 12
In other words, Beth raised $12
Answer: C
Cheers,
Brent