Essential Question: How can we use algebra to solve word problems?
Create and solve an equation for the following word problems.
1) A contractor is adding a back porch on to a house. The porch needs to hold 20 people and furniture that weighs 250 lbs. The contractor calculates that the porch needs to hold 3750 lbs to meet that specification. What value did the contractor use for the weight of a person?
2) Dominique paints faces at an annual carnival. Her goal this year is to earn $100 in profit. She spends $15 on supplies and will work for 2.5 hours. How much will she need to earn in dollars per hour in order to reach her goal?
3) Martha takers her niece and nephew to a concert. She buys t-shirts and bumper stickers for them. The bumper stickers cost $1 each. Martha’s niece wants 1 shirt and 4 bumper stickers, and her nephew wants 2 shirts and no bumper stickers. If Martha’s total is $67, what is the cost of one shirt?
4) You have a part-time job. You work for 3 hours on Friday and 6 hours on Saturday. You also receive an allowance of $20 per week. You earn $92 per week. How much do you earn per hour at your part-time job?
5) Three friends go bowling. The cost per person per game is $6. The cost to rent shoes is $2.50 per person. Their total cost is $61.50. How many games did they play?
6) Alison is five years older than Kris. If the sum of their ages is 47, how old is each?
7) This month Erica saved $20 more than last month. For the two months, she saved a total of $70. How much did she save each month?
8) The larger of two numbers is 4 times the smaller. If the larger number exceeds the smaller number by 15, find the numbers.