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For 15 weeks, Sue put the same amount of money in a jar. Then she took $45 out to spend on a friend’s birthday present. She had $210 left. Write and solve an equation to find the amount Sue put in the jar each week.
15x-45=210
x=$17
7(x-2)=6x
x=14
A taxi cab uses these rates for each ride:
$5 for the first mile
$1.50 for each additional mile
Write and solve an equation to find the total miles you can ride for $23.
1.5x+5=23
x=12 miles
7(x-2)=7x + 2
No solution, One solution, or Many solutions?
No solution
Jerry wants to rent a pair of skis and a helmet. The ski rental will cost $25 an hour and the helmet is a $30 fee for the day. How many hours can he ski for $180?
25x+30=180
x= 6 hours
2/3x + 25 = -17
x = -63
7(x-2)=6x
No solution, One solution, or Many solutions?
One solution
Joey wants to buy a gym membership. He visits two gyms with two different fees. Gym A has a $40 sign up fee and it costs $25 per month. Gym B has a $50 sign up fee and costs $20 per month. How many months will he have to belong at each before the costs are the same?
25x+40=20x+50
x=2 months
16-4x=7x+5
x=1
-1/4(12x-36)=-54
x=-21
7(x-2)= -14 + 7x
No solution, One solution, or Many solutions?
Infinite Solutions
Dan is planning a fancy dinner for his friend's birthday. Heirloom Café charges $21 per person for the meal, plus an additional $8 per person for dessert. Hot Stone Bakery charges $26 per person for the meal, plus $33 for a birthday cake the friends can share.
Find how many people would need to come to the dinner for the two restaurants to cost the same.
21x+8x=26x+33
29x=26x+33
3x=33
x=11
-2(16-4x)+20=7x+5-2x
x = 17/3, 5 2/3, 5.67
If you arrive at 6x+2=6(x+1/3)
No solution, One solution, or Many solutions?
Many Solutions