Question

Which of the following is equivalent to "the difference of 10 and the quotient of 12 and 4"?

a) 10 - 4/12
b) 12/4 - 10
c) 10 - 12/4
d) 4/12 - 10

Answer 1

The expression 'the difference of 10 and the quotient of 12 and 4' translates to '10 minus (12 divided by 4)', which simplifies to '10 - 3', and the answer is 7. Among the given options, the correct answer is (c) 10 - 12/4.

Step-by-step explanation:

The expression "the difference of 10 and the quotient of 12 and 4" consists of two operations:
1. Calculating the quotient of 12 divided by 4.
2. Subtracting that result from 10. Performing the first operation, the quotient of 12 and 4 is 3 (12 divided by 4 equals 3). The second operation then asks us to subtract this quotient from 10, which gives us 10 - 3. Therefore, the expression equates to 7. In the context of the given options, this means the correct answer is (c) 10 - 12/4.