High School

Carter and his friends are preparing for an epic snowball fight. They make 75 snowballs before Carter's dad calls them in for lunch. After lunch, they make more snowballs. In total, Carter and his friends make 157 snowballs.

Which equation can you use to find the number of snowballs [tex] s [/tex] Carter and his friends make after lunch?

A. [tex] s - 75 = 157 [/tex]

B. [tex] s + 75 = 157 [/tex]

C. [tex] 75s = 157 [/tex]

D. [tex] \frac{s}{75} = 157 [/tex]

Solve this equation for [tex] s [/tex] to find the number of snowballs Carter and his friends make after lunch.

Answer :

To solve the problem, we need to find out how many snowballs Carter and his friends made after lunch.

Here's a step-by-step breakdown:

1. Understand the problem:
- Carter and his friends made a total of 75 snowballs before lunch.
- They made more snowballs after lunch.
- Altogether, by the end, they had made 157 snowballs.

2. Set up the equation:
- Let [tex]\( s \)[/tex] be the number of snowballs they made after lunch.
- The total number of snowballs made is the sum of those made before and after lunch.
- This gives us the equation: [tex]\( 75 + s = 157 \)[/tex].

3. Solve the equation:
- To find the value of [tex]\( s \)[/tex], we need to subtract the number of snowballs made before lunch from the total number.
- Therefore, solve for [tex]\( s \)[/tex] by subtracting 75 from 157:
[tex]\[
s = 157 - 75
\][/tex]
- When you perform the subtraction, [tex]\( s = 82 \)[/tex].

So, Carter and his friends made 82 snowballs after lunch.