A girl buys a monthly bus pass, which entitles her to unlimited bus travel, for \( \$ 42 \) per month. Without the pass each bus ride costs \( \$ 1.50 \). How many rides per month would she have to take so that the cost of the rides without the bus pass is equal to the total cost of the rides with the bus pass? The number of rides at which the unlimited ride pass equals the cost of individual ride purchases is

To find the number of rides at which the cost of the monthly bus pass equals the cost of buying individual tickets, we can set up an equation. The cost of the monthly pass is \( \$42 \), and each individual bus ride costs \( \$1.50 \). We want to find the number of rides \( x \) where: \[ 1.50x = 42 \] To solve for \( x \), divide both sides by \( 1.50 \): \[ x = \frac{42}{1.50} = 28 \] Therefore, she would need to take 28 rides per month for the cost of the rides without the bus pass to equal the total cost of the rides with the bus pass.