Mark weighs 74 pounds. Together, he and his sister weigh six pounds more than three times the weight of his sister. What is the weight of Mark's sister?
would it be 74=3(w)+6
No, read it carefully:
74 + w = 3w+6
It’s C
74 + w = 3w + 6; 34 lb
k
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To solve this problem, let's define some variables:
Let's assume the weight of Mark's sister is represented by the variable "w."
According to the problem, Mark weighs 74 pounds, so we know his weight is 74.
Next, we are given that together, Mark and his sister weigh six pounds more than three times Mark's sister's weight. In mathematical terms, this can be expressed as:
74 + w = 3w + 6
Now, let's solve the equation to find the weight of Mark's sister:
Subtract "w" from both sides to isolate the variable:
74 = 2w + 6
Subtract 6 from both sides:
68 = 2w
Divide both sides by 2:
34 = w
Therefore, the weight of Mark's sister is 34 pounds.