the starving actors guild holds its annual winter arts festival in hopes of raising $13,344 by selling 824 tickets. The guild ch arges $20 for adult admission tickets and $12 for childrens admission tickets. In order to meet the goal, how many of each type of the tickets need to be sold?
1 answer:
A + c = 824 represents number of tickets to sell 20a + 12c = 13,344 represents cost of each type of ticket multiply equation 1 by -12 to cancel the variable 'c' and solve for 'a' -12(a + c = 824) -12a - 12c = - 9888 20a + 12c = 13,344 add equations together ----------------------------- 8a = 3456 divide both sides by 8 a = 432 To find children's tickets substitute adult numbers back into equation 1. a + c = 824 432 + c = 824 subtract 432 from both sides c = 392adult 432, children 392
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