Answer:
4 Small, 6 Large
Step-by-step explanation:
We can start by finding values that would help add our two prices together.
We know that each large umbrella is $25, so if we keep adding until we can add up the umbrellas to 10, then we'll get our answer.
1 Large: $25
2 Larges: $50
3 Larges: $75
4 Larges: $100
5 Larges: $125
6 Larges: $150
Now don't forget, we need 10 umbrellas in total, and we know that we need 4 more umbrellas to get to 10, and we need 40 more dollars to get to 190.
40/10 = 4
6 Larges, 1 Small = $160
6 Larges, 2 Small = $170
6 Larges, 3 Small = $180
6 Larges, 4 Small = $190
Don’t you just love inequalities? Of course I can only hear you saying “not really…inequalities stink!” Well I know you may not like inequalities but you need to know how to work with them. All right let me stress some points:
* the solution to an inequality is more than a single number; inequalities have solution sets (many/infinite number of solutions). As an example lets consider the inequality x > 5 what can the value of x be? i.e. what numbers are greater than 5? clearly an infinite amount of numbers are greater than 5 so we need to express the solutions to inequalities in a different way other than writing out all the numbers greater than 5 – that would take a lot of paper and with global warming….you get the idea. So to deal with this little issue we graph the solution of an inequality on a number line.
other important points:
* we simplify inequalities using the same steps as solving equations
* when dividing/multiplying both sides of an inequality by a negative number you need to reverse the inequality symbol; example > would turn into < .
* when graphing your solution <, > symbols use open circles; <=, >= symbols fill in the circle.
* make sure you can solve linear equations before taking on inequalities- good luck and may the force be with you!!
The first graph.
The blue line represents the minimum number of popcorn tubs you must buy. That needs to be shaded above.
The red line represents the amount of money that you have to spend. That must be shaded below.
