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The cost of renting a bus for a field trip was divided evenly among 20 students. At the last minute, 10 more students joined the trip. The cost of renting the bus was then redistributed and evenly split among all of the students. The cost for each of the original 20 students decreased by $1.50. What was the total cost of renting the bus, in dollars? a.45 b.90 c.135 d.180 Jul 10, 2019 ### 8+0 Answers #1 +3 I'm guessing A but you heed more info as in the amount of the 30 students or the twenty stdents Jul 10, 2019 #2 +3 or i could be C for 45 time 3=135 Jul 10, 2019 #3 0 That's actually incorrect. By guess and check, the answer is b, as in the beginning each student pays$4.5 and afterwards each student pays $3. Jul 10, 2019 #4 +4 Oh okay thanks Guest Travisio Jul 10, 2019 #5 0 x = original cost price = 20x New cost = x- 1.5 new total price is still 20x 30 * (x-1.5) = 20 x 30 x -45 = 20x 10x = 45 x = 4.5 20 (4.5 ) = 90 Jul 10, 2019 #6 0 x = original cost price = 20x New cost = x- 1.5 new total price is still 20x 30 * (x-1.5) = 20 x 30 x -45 = 20x 10x = 45 x = 4.5 20 (4.5 ) = 90 Jul 10, 2019 #7 +4 x = original cost price = 20x New cost = x- 1.5 new total price is still 20x 30 * (x-1.5) = 20 x 30 x -45 = 20x 10x = 45 x = 4.5 20 (4.5 ) = 90 Is correct EP and quest TRavisio travisio Jul 10, 2019 #8 +2 The cost of renting a bus for a field trip was divided evenly among 20 students. At the last minute, 10 more students joined the trip. The cost of renting the bus was then redistributed and evenly split among all of the students. The cost for each of the original 20 students decreased by$1.50.

What was the total cost of renting the bus, in dollars?

$$\text{Let total cost =c} \\ \text{Let students =s} \\ \text{Let costs per student c(s)=\dfrac{c}{s}}$$

$$\begin{array}{|rcll|} \hline c(30) &=& c(20) - 1.50 \\\\ \dfrac{c}{30} &=& \dfrac{c}{20}- 1.50 \quad | \quad \cdot 30\\\\ c &=& 1.5c - 1.50\cdot 30 \\ c &=& 1.5c - 45 \\ 1.5c-c &=& 45 \\ 0.5c &=& 45 \\ c &=&\dfrac{ 45}{0.5} \\ \mathbf{c} &=& \mathbf{90} \\ \hline \end{array}$$

The total cost of renting the bus, in dollars was \$90 Jul 11, 2019