Question

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 Choose... . Her uncle's actual age is Choose... .

Answer 1

Her uncle's age = 47 years

Explanation:

Sophia = 12 years old

Her Uncle Reynald tells her that if she adds 5 to her age,

= 12 + 5

multiplies the sum by 3

= (12 + 5) × 3

and then subtracts 4 from the product

= {(12 + 5) × 3} - 4

she will find his age

{(12 + 5) × 3} - 4

= (17 × 3) - 4

= 51 - 4

= 47

Her uncle's age = 47 years

Sophia wrote:

12 + 5 × 3 − 4

Using PEMDAS

P - product

E - exponent

M - multiplication

D - division

A - addition

S - subtraction

Sophia's expression can be written as = 12+(5*3)-4

= (12 + 15) - 4

= 27 - 4

= 23

Sophia's expression is wrong