Question

Assign two variables for each problem, and write the equations. Do not solve.

1) Two different types of batteries are needed to run Joshua's remote-controlled jeep. The two batteries produce a total voltage of 6.5 V. The difference in their voltage is 2.5 V. Determine the voltages of the two batteries.

2) Jason, a Vendor at the Minute Maid Park in Houston, sells two sizes of drinks. One costs $1.00 and the other costs $1.50. He knows he sold a total of 230 drinks for a total of $285.00. How many small drinks did he sell?

Need two variables and two equations for both.

Answer 1

a = first battery type
b = second battery type

a + b = 6.5 V
a = ( 6.5 V ) - b

b - a = 2.5 V

b - (6.5 - b) = 2.5
2b - 6.5 = 2.5
2b = 9.0
b = 4.5 V
a = 6.5 - 4.5
a = 2.0 V

Answer 2

1. x represents one battery, y represents the other battery x+y=6.5 x-y=2.5 2. x represents the number of small drinks sold, y represents the number of other size drinks sold x+y=230 x+1.5y=285