Sophia is 12 years old. Her Uncle Reynald tells her that if she adds 5 to her age, multiplies the sum by 3, and then subtracts 4 from the product, she will find his age. She tells him that his age equals the expression
12+5×3−4.
Is Sophia correct? Choose the correct answers from the drop-down menus.
Sophia is
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Her uncle’s actual age is
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Sophia is correct in calculating the expression, but it does not necessarily represent her uncle's age.
Sophia is: 31
Her uncle's actual age is: unknown
47?
If Sophia added 5 to her age (12) and multiplied the sum by 3, the result would be 51. Then, subtracting 4 from 51 gives 47. So if Sophia's Uncle Reynald's age is actually 47, then she would be correct. However, the problem only states that adding 5 to Sophia's age, multiplying by 3, and subtracting 4 would give Reynald's age, but it does not state that Reynald's age is actually 47. Therefore, we cannot assume that Sophia's calculation represents Reynald's actual age.
Sophia is incorrect. To determine her uncle's age using the given expression, we need to follow the order of operations (PEMDAS/BODMAS) to correctly evaluate the expression.
First, we perform the multiplication: 5 × 3 = 15.
Then, we perform the addition: 12 + 15 = 27.
Finally, we perform the subtraction: 27 - 4 = 23.
Therefore, if Sophia correctly followed the given instructions, her uncle's age would be 23, not the expression 12 + 5 × 3 - 4.