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:
- Total money: $35
- Food cost: $5
- Admission cost: $7
- 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:
- \( 12 = 35 + 1.85x \) – This does not work because it suggests that the combined total will be $12.
- \( 1.85x = 47 \) – This does not reflect Dylan's available money after expenses; hence, it is incorrect.
- \( 35 = 12 + 1.85x \) – 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.
- \( 35 = 1.85 + 12x \) – 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:
\( 35 = 12 + 1.85x \)
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