Solving by Combining Like Terms
WRITE AN EQUATION & SOLVE: Julie is 3 years older than her sister. Julie's age is 11 years old. How old is her sister?
n = Julie's sister's age
n + 3 = 11 n = 8
Julie's sister is 8 years old.
Mr. Cushman bought 7 Hannah Montana t-shirts for a total of $90.93. Each t-shirt cost the same amount. How many Hannah Montana t-shirts did Mr. Cushman buy?
n =# of t-shirts
7n = 90.93 n = 12.99
Each t-shirt cost $12.99
Tyler has 4 boxes of apples. Each box has the same number of apples. After Tyler eats 3 apples, there are 109 apples left in the boxes. How many apples were in each box?
a = # of apples in each box
4a - 3 = 109
a = 28 There were 28 apples in each box.
Mr. Bucci goes to the grocery store and purchases 17 bags of raisins and a $2.97 jar of peanut butter. His total cost was $34.76. What was the cost for a bag of raisins?
r = cost of a bag of raisins
17r + 2.97 = 34.76
r = 1.87 Each bag of raisins cost $1.87
When you count by ones from many integers, you are counting consecutive integers. Using variables, three consecutive integers are n, n + 1, and n + 2. The sum of three consecutive integers is 48. What are the integers?
n + n + 1 + n + 2 = 48 n = 15 The integers are 15, 16, and 17.