Mohamed and Miguel go to the movie theater and purchase refreshments for their friends. Mohamed spends a total of $18.25 on two
bags of popcorn and three drinks. Miguel spends a total of $27.50 for four bags of popcorn and two drinks.
a) Write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink.
b) Using your system from part a), determine and state the price of one bag of popcorn and the price of one drink.
If p is the price of a bag of popcorn and d is the price of a drink 2p + 3d = 18.25 Mohamed’s order 4p + 2d = 27.50 Miguel’s order If we double the first equation 4p + 6d = 36.50 Now subtract the second equation (find the difference between them) 4d = 9.00 d = 2.25 Substitute in the first equation 2p + 3 x 2.25 = 18.25 2p = 18.25 - 6.75 = 11.50 p = 11.50 / 2 = 5.75
Popcorn was $5.75 a bag and drinks were $2.25 each
The sialic continents, mafic ocean floors, the crust, the mantle and the core were all formed while the early melted Earth cooled and differentiated as low density minerals floated to the surface and heavy, denser minerals sank to the center.
