To solve this problem, we'll use the information provided:
Jane divided a certain number by 7, and the quotient was 35 with a remainder of 4. To find the original number, we can follow these steps:
1. Understand the relationship between the divisor, the quotient, the remainder, and the original number. The formula to use here is:
[tex]\[
\text{original number} = (\text{quotient} \times \text{divisor}) + \text{remainder}
\][/tex]
2. Plug in the values provided:
- Quotient (result) = 35
- Divisor = 7
- Remainder = 4
3. Substitute these values into the formula:
[tex]\[
\text{original number} = (35 \times 7) + 4
\][/tex]
4. Perform the multiplication and addition:
[tex]\[
35 \times 7 = 245
\][/tex]
[tex]\[
245 + 4 = 249
\][/tex]
Thus, the original number is 249.
