Alex weighs 85 pounds. Together, he and his sister weigh ten pounds more than five times the weight of his sister. What is the weight, w, of Alex's sister?(1 point) Responses
w = 15 lbs
Let x be the weight of Alex's sister. According to the information given, Alex weighs 85 pounds and together with his sister, they weigh 10 pounds more than five times the weight of his sister:
85 + x = 5x + 10
Subtract x from both sides:
85 = 4x + 10
Subtract 10 from both sides:
75 = 4x
Divide by 4:
x = 75/4
x = 18.75
Therefore, the weight of Alex's sister is w = 18.75 lbs.