Question

Last week Julia ran 30 miles more than Pranav. Julia ran 47 miles. How many miles did Pranav run?

Answer 1

Hint: Here we have a simple problem, First we need to convert the given word problem into an algebraic expression and then we simplify the equation to get the result. We take ‘p’ to be the number of miles that Pranav runs. Here more means addition that we use the \[ + \] operator.

Complete step by step solution:
Given,
Let \[p\] be the number of miles that Pranav runs.
Last week Julia ran 30 miles more than Pranav.
Then \[ \Rightarrow p + 30\]
Number of miles that Julia runs is 47.
Then,
 \[ \Rightarrow p + 30 = 47\]
Now subtract 30 on both sides we have,
 \[ \Rightarrow p = 47 - 30\]
 \[ \Rightarrow p = 17\]
Thus the number of miles that Pranav runs is 17 miles.
So, the correct answer is “ 17 miles”.

Note: Algebra helps in converting a mathematical statement into an equation. We know if we have ‘more’ or ‘sum’ in the given sentence we use addition operation \[( + )\] . Similarly If we have ‘less’ or ‘difference’ we use subtraction \[( - )\] . If we have a ‘quotient’ we use division operation \[( \div )\] . To define more generalized terms; we use algebra. It is a very vast branch of mathematics and is used in all the branches of mathematics like polynomial, linear equations, graphs, etc. and in daily life too.