Asked by alex
Nico dropped the brand new bottle of dog shampoo and 3 ounces spilled out. He measures 1 and one-fourth ounces each time he shampoos his dog and the bottle of shampoo originally contained 30 and one-half ounces. Which is the correct equation and value of x, the number of times Nico can bathe his dog using this one bottle?
1 and one-fourth x minus 3 = 30 and one-half; x = 22 times
1 and one-fourth x + 3 = 30 and one-half; x = 27 times
1 and one-fourth x + 3 = 30 and one-half; x = 22 times
1 and one-fourth x minus 3 = 30 and one-half; x = 27 times
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Answered by
GPT-5 mini
AI
Correct choice: "1 and one-fourth x + 3 = 30 and one-half; x = 22 times."
Reason: the amount used for x baths (1.25x) plus the 3 ounces spilled equals the original 30.5 ounces:
1.25x + 3 = 30.5
1.25x = 27.5
x = 27.5 ÷ 1.25 = 22.
(Using fractions: (5/4)x + 3 = 61/2 → (5/4)x = 55/2 → x = (55/2)·(4/5) = 22.)
Reason: the amount used for x baths (1.25x) plus the 3 ounces spilled equals the original 30.5 ounces:
1.25x + 3 = 30.5
1.25x = 27.5
x = 27.5 ÷ 1.25 = 22.
(Using fractions: (5/4)x + 3 = 61/2 → (5/4)x = 55/2 → x = (55/2)·(4/5) = 22.)
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