Solve Equations with Variables on both sides I
3(2x-6) = 4(x+2)
x=13
Solve this problem by writing and solving an inequality. Define your variable.
Manny needs to buy 5 work shirts that are each the same price and a sweater for $20. He can spend more than than $70. What is the maximum amount that each shirt can cost?
x = cost of the shirt ($)
5x + 20 ≤ 70
Each shirt can cost at most $14.
Create an equation:
DJ spends $2 on a coke and the rest on an order of nachos. He spent $7.41 on his meal.
2 + n = 7.41
2x+3x-7=x+1
x=2
Solve this problem by writing and solving an inequality. Define your variable.
Ricky has $18.00. Bagels cost $1.10 each and a small container of cream cheese costs $1.50. What is the greatest number of bagels Ricky can buy if he also buys one small container of cream cheese?
x = # of bagels Ricky can buy
1.1x + 1.5 ≤ 18
Ricky can buy a maximum of 15 bagels.
Timothy spent $68 dollars Macys. He bought a pair of jeans for $32 and two shirts. How much did each shirt cost?
Write an equation and solve.
32+2x=68
x=$18
Solve this problem by writing and solving an inequality. Define your variable.
Jake has $50 to spend at Adventureland. He wants to get funnel cake while he is there, which costs $4 each. How many funnel cakes can Jake buy to still have at least $35 to spend on rides and games?
x = # of funnel cakes Jake can buy
4x + 35 ≤ 50
x ≤ 3.75
Jake can buy 3 funnel cakes.
A customer at a Mexican restaurant placed an order for 3 burrito bowls. They also ordered a plate of corn tacos at $12.96 and was billed for a total of $32.46. What is the cost of one burrito bowl?
Write an equation and solve.
3x+12.96=32.46
One burrito bowl costs $6.50.
x+x+4= -2(2x-5)
x= 1
Solve this problem by writing and solving an inequality. Define your variable.
The 35 members of a drill team are trying to raise at least $1,200 to cover travel costs to a training camp. They have already raised $500. How much money should each member raise to meet the goal?
x = amount of money each member should raise ($)
35x + 500 ≥ 1,200
Each member should raise at least $20.
On Friday, you raked leaves for 4 neighbors, on Saturday you raked leaves for 5 neighbors, and on Sunday you raked leaves for 3 neighbors. Over the three days you earned a total of $135. If you were paid the same amount at each house, how much did you earn for each house?
Write an equation and solve.
4x+5x+3x=135
x=$11.25
7(x - 2) = 3x + 26
What is x = 10?
2x + 11 = -3x + 36
What is x = 5
18+x=4x-3
x= 7
Solve this problem by writing and solving an inequality. Define your variable.
Molly saved $150 from her job to buy books. She goes to the store and buys books that cost $9.40 each. What is the maximum number of books Molly can buy to still have $9 left over to buy lunch?
x = # of books Molly buys
150 - 9.40x ≥ 9
Molly can buy a maximum of 15 books.
Nicole is a member of Phoenix gym and pays a $24 monthly fee to be a member. She also attends Zumba classes that cost her $3 every time she attends a class. Kaitlin is not a member of the gym and has to pay $7 for each Zumba class. How many classes do they both have to take to pay the same amount of money for one month?
Write an equation and solve.
24+3x=7x
x=6 classes