Question

Mrs. Morton has a special reward system for her class. When all her students behave well, she rewards them by putting 3 marbles into a marble jar. When the jar has 100 marbles or more, the class has a party. Right now, the jar contains 24 marbles.
Let r represent the number of additional times the class is rewarded. Write an inequality to determine how many more times the class needs to be rewarded in order to earn a party.

What is the minimum whole number of additional times they need to be rewarded so they can have a party?

Answer 1

24 + 3r = 100

Subtract 24 from both sides.

24 - 24 + 3r = 100 - 24

Divide

3r = 76

3r/3 = 76/3

r = 25.3
Rounded to 25.

They would have to be rewarded 25 times in order to have a party.

Answer 2

Answer: $24+3r\geq100$

r=26

Step-by-step explanation:

Given: Mrs. Morton rewards her students on behave well by putting 3 marbles into a marble jar.

If the jar contains 24 marbles. and r represent the number of additional times the class is rewarded then the required equation will be

$24+3r\geq100$

If we solve it, we will get the minimum the jar contains 24 marbles.

To solve equation, subtract 24 from both sides, we get

$3r\geq100-24\\\Rightarrow3r\geq76\\\Rightarrow\ r\geq\frac{76}{3}\geq25.333\approx 26$

Hence, the minimum whole number of additional times they need to be rewarded so they can have a party=26