Mrs. Morton has a special reward system for her class. When all her students behave well, she rewards them by putting 333 marbles into a marble jar. When the jar has 100100100 marbles or more, the class has a party. Right now, the jar contains 242424 marbles. Let rrr 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. 24+3x≥100 What is the minimum whole number of additional times they need to be rewarded so they can have a party? ______times

24+3x≥100
remember you can do anything to an equaiton as long as you do it to bot hsides

24+3x≥100
minus 24 both sides
3x≥76
divide both sies by 3
x≥25.333333
round up since yo can't do something 0.333 times
26

26 more times

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MsEHolt MsEHolt · Answer 2 · 2018-08-09T02:10:00+02:00

The correct answer is:

At least 26 times.

Explanation:

The inequality is given to us: 24+3x ≥ 100.

To solve this, we first cancel 24 by subtracting it from both sides:

24+3x-24 ≥ 100-24

3x ≥ 76

Next we cancel 3 by dividing both sides by 3:

3x/3 ≥ 76/3

x ≥ 25.333

We cannot have 0.3 times, so we round up to the next whole number, 26.

(The reason we round up when mathematically we would "round down" is because 25 would not give us quite enough marbles, 26 does.)