Question
Jamari's dog weighs 9 1/2 pounds more than Aleyah's dog. If aleyah's dog weighs 12 1/3 pounds, how much does Jamari's dog weigh?
a
2 5/6 pounds
b
21 5/6 pounds
c
3 pounds
d
2 1/3 pounds
a
2 5/6 pounds
b
21 5/6 pounds
c
3 pounds
d
2 1/3 pounds
Answers
GPT 3.5
To find the weight of Jamari's dog, we need to add 9 1/2 pounds to Aleyah's dog's weight.
First, convert Aleyah's dog's weight from a mixed number to an improper fraction:
12 1/3 = (3 * 3 + 1) / 3 = 37/3
Then, add 9 1/2 to 37/3:
37/3 + 9 1/2 = 37/3 + (9 * 2 + 1) / 2 = 37/3 + 19/2 = (37 * 2 + 19 * 3) / (3 * 2) = (74 + 57) / 6 = 131/6
Therefore, Jamari's dog weighs 131/6 pounds.
To simplify this fraction, divide the numerator by the denominator:
131 ÷ 6 = 21 remainder 5
Therefore, Jamari's dog weighs 21 5/6 pounds.
Therefore, the correct option is b) 21 5/6 pounds.
First, convert Aleyah's dog's weight from a mixed number to an improper fraction:
12 1/3 = (3 * 3 + 1) / 3 = 37/3
Then, add 9 1/2 to 37/3:
37/3 + 9 1/2 = 37/3 + (9 * 2 + 1) / 2 = 37/3 + 19/2 = (37 * 2 + 19 * 3) / (3 * 2) = (74 + 57) / 6 = 131/6
Therefore, Jamari's dog weighs 131/6 pounds.
To simplify this fraction, divide the numerator by the denominator:
131 ÷ 6 = 21 remainder 5
Therefore, Jamari's dog weighs 21 5/6 pounds.
Therefore, the correct option is b) 21 5/6 pounds.