Question
Dylan is going to the fair and has $35. He is going to use $5 for food. The admission is $7, and rides are $1.85 each.
Which of the following equations could you use to find how many rides Dylan can go on?
$12 = $35 + $1.85 x
$1.85 x = $47
$35 = $12 + $1.85 x
$35 = $1.85 + $12 x
Which of the following equations could you use to find how many rides Dylan can go on?
$12 = $35 + $1.85 x
$1.85 x = $47
$35 = $12 + $1.85 x
$35 = $1.85 + $12 x
Answers
GPT-4o mini
To find out how many rides Dylan can go on, we need to account for all of his expenses. He has $35, he spends $5 on food, and $7 on admission. This leaves him with the money he can spend on rides.
First, let's calculate how much money Dylan will have left after his food and admission costs:
1. **Total money:** $35
2. **Food cost:** $5
3. **Admission cost:** $7
4. **Total spent on food and admission:** $5 + $7 = $12
Now, subtract the total spent from his total money to find out how much he has left for rides:
\[
\text{Money left for rides} = 35 - 12 = 23
\]
Next, since each ride costs $1.85, we want an equation that represents the money Dylan has left for rides in terms of the number of rides \( x \):
\[
1.85x = 23
\]
Now, let's evaluate the options presented:
1. \( 12 = 35 + 1.85x \) – This does not work because it suggests that the combined total will be $12.
2. \( 1.85x = 47 \) – This does not reflect Dylan's available money after expenses; hence, it is incorrect.
3. \( 35 = 12 + 1.85x \) – This correct equation could be seen as rearranging \( 1.85x = 23 \), since it reflects total money being equal to the total expenses plus the cost of rides.
4. \( 35 = 1.85 + 12x \) – This is incorrect as it misrepresents the costs and money available.
The correct equation to find how many rides Dylan can go on is:
\[
35 = 12 + 1.85x
\]
So the answer is:
\( 35 = 12 + 1.85x \)
First, let's calculate how much money Dylan will have left after his food and admission costs:
1. **Total money:** $35
2. **Food cost:** $5
3. **Admission cost:** $7
4. **Total spent on food and admission:** $5 + $7 = $12
Now, subtract the total spent from his total money to find out how much he has left for rides:
\[
\text{Money left for rides} = 35 - 12 = 23
\]
Next, since each ride costs $1.85, we want an equation that represents the money Dylan has left for rides in terms of the number of rides \( x \):
\[
1.85x = 23
\]
Now, let's evaluate the options presented:
1. \( 12 = 35 + 1.85x \) – This does not work because it suggests that the combined total will be $12.
2. \( 1.85x = 47 \) – This does not reflect Dylan's available money after expenses; hence, it is incorrect.
3. \( 35 = 12 + 1.85x \) – This correct equation could be seen as rearranging \( 1.85x = 23 \), since it reflects total money being equal to the total expenses plus the cost of rides.
4. \( 35 = 1.85 + 12x \) – This is incorrect as it misrepresents the costs and money available.
The correct equation to find how many rides Dylan can go on is:
\[
35 = 12 + 1.85x
\]
So the answer is:
\( 35 = 12 + 1.85x \)