Mrs. Stevenson bought 200 pencils for her classroom. Each day, she handed out 5 pencils to her most behaved students.

Question

Which equation can be used to find d, the number of days it will take Mrs. Stevenson to give away all her pencils?
Responses
A 200 + 5d = 0 200 + 5 d = 0
B 200 – 5d = 0 200 – 5 d = 0
C 200 + 5d = 200200 + 5 d = 200
D 200d - 5 = 0

Answer 1

To find the number of days $d$ it will take Mrs. Stevenson to give away all her pencils, we can set up the equation based on the number of pencils she starts with (200) and the number of pencils given away each day (5).

Since she starts with 200 pencils and gives away 5 pencils each day, the equation can be expressed as:

$$200-5d=0$$

This means that after $d$ days, all the pencils will be given away (the total number of pencils will reach 0).

Thus, the correct response is:

B: $200-5d=0$

Answer 2

Trevor has a gift card with a $150 balance. He buys several video games that cost $35 each.

Which equation can be used to find X
, the number of games Trevor purchased if there was a balance of $45 left on his gift card.
Responses
A
150 plus 35 x is equal to 45
B
150 x minus 35 is equal to 45
C
open paren 150 minus 35 close paren times x is equal to 45
D

Answer 3

To find $X$, the number of video games Trevor purchased, we can set up an equation based on the information given.

Trevor starts with a $150 gift card balance and buys video games that each cost $35. After purchasing several games, he has $45 remaining on the gift card.

The total amount Trevor spends on the games can be expressed as $35X$. Since he started with $150 and ended up with $45, the equation can be set up as:

$$150-35X=45$$

However, since that specific option is not presented, let's analyze the options closely.

The equation we want to solve would rearrange to show how many games he purchased:

1. Start from the total amount: $$150-35X=45$$

2. Rearranging the above gives you the option: $$150-45=35X$$ $$105=35X$$

The closest option that might match from your responses could be:

D, with the notation left unclear. If we were to finalize the equations, none of the options listed in your message are accurately representing the situation.

However, if we had to infer the intention behind the options listed, we should confirm the accurate setup would be $150-35X=45$ but that's not explicit in the current answers.

If option D contained something like $150-35X=45$ or similar, that would be the best choice. If not, none of the options provided could correctly answer the question as posed.