Solving by Combining Like Terms
WRITE AN EQUATION & SOLVE: Jackson had $48 in his savings account. Each week he added $8 to his account. Amelia had $87 in her account. Each week she took $5 out. After how many weeks will they have the same amount of money in their savings accounts?
w - weeks until they have the same amount of money in their savings accounts. 48 + 8x = 87 - 5x. w = 3
Mr. Medler bought 7 Taylor Swift t-shirts for a total of $90.93. Each t-shirt cost the same amount. How many Taylor Swift t-shirts did Mr. Medler 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. Davis goes to the grocery store and purchases 17 jars of pickles and a $2.97 jar of peanut butter. His total cost was $34.76. What was the cost for a bag of raisins?
p - cost of a jar of pickles 17r + 2.97 = 34.76
p = 1.87 Each bag of raisins cost $1.87
Josiah signed up for a gym membership. The gym charges a one-time fee of $59 plus a monthly fee. Josiah determines that he will pay a total of $557 for her gym membership after one year. How much does the gym charge per month?
$59 + 12m = $557
$41.50 per month