Answer to Question #245149 in Algebra for Kevin

Question

A single ticket to a magic show costs m dollars, but there is a discount of 25% per ticket if a group buys 20 or more tickets. The expression 20m - 20(0.25m) describes the total cost of buying 20 tickets for a group.

Answer 1

cost of one tickets = M

If a group buys 20 tickets

then the cost would be $=20\times M=20M$

but we are given that if a group buys 20 or more tickets then will get a discount of 25% per tickets

since we are calculating the cost of 20 tickets

so the discount on the 1st ticket =25% of m

$=\frac{25}{100} \times M\\=0.25M$

so the final cost of 20 tickets $=20\times 0.25M$

therefore the total cost of buying 20 tickets fir group $=20M - 20(0.25M)$