The first step to solving a story problem is identifying variables. For this problem, I will identify the variables as:
D = Drew's age
J = Jimmy's age
Once the variables are identified, we need to find as many equations as we have variables. Since we have two variables, we will have to write two equations.
Since Drew is 3 years younger than Jimmy: D + 3 = J
Since the sum of the brothers' ages is 21: D + J = 21
Once I have two equations is two variables, I can solve the system using either substitution method or elimination method. For this problem, I will use substitution method.
D + J = 21 Equation 2
D + (D + 3) = 21 Substitution of value of J from equation 1 into equation 2
D + D + 3 = 21 Associative property of addition
2D + 3 = 21 Simplify
2D + 3 - 3 = 21 - 3 Subtract 3 from each side
2D = 18 Simplify each side
2D/2 = 18/2 Divide each side by 2
D = 9 Simplify each side
Now that we have D, we can substitute it into equation 1 to get the value of J
D + 3 = J Equation 1
9 + 3 = J Substitution
12 = J Simplify
Answer:
$36.97
The cost of the meal was $32.57 and he used a 10% off coupon. You can make 10% equal to 0.1 because . Now do . This is the discount, so you want to subtract this from the original to get the actual price of the meal, .
The tax was 8% so this means he is adding
I believe that the answer is c
Answer: It will take you 30 minutes because 8 divided by 4 is 2 and 60 minutes (1 hour) divided by 2 is 30 minutes (or half an hour).
Move all terms that don't contain r to the right side, and solve.
r = 4
