3 times 8 times 1 eqals 24
Answer:
Joe is 14.
Martha is 28.
Step-by-step explanation:
Use the variables and information from the question to make equations.
If Joe's age is half Martha's:
(1/2)m = j OR 2j = m
If their ages combined is 42:
m + j = 42
We can substitute the equation m=2j into equation m + j = 42, replacing "m".
m + j = 42 Substitute m for 2j
2j + j = 42 Combine like terms, terms with same varables
3j = 42 Divide both sides by 3 to isolate j
j = 14 Joe's age
Since j = 14, we can substitute it into equation m=2j to find "m".
m = 2j Substitute j for 14
m = 2(14) Simplify
m = 28 Martha's age
Therefore Joe is 14 and Martha is 28.
Answer:
S = 6
R = 10
Step-by-step explanation:
Givens
Let the Regular Tickets be R
Let the Senior Citizen tickets be S
Equations
85r + 24s = 994 (1)
45r + 12s = 522 (2)
Solution
Multiply equation 2 by 2
- 2(45r + 12s = 522)
- 90r + 24s = 1044 Subtract (1)
- <u>85r + 24s = 994</u>
- 5r = 50 Divide by 5
- 5r/5 = 50/5 Do the division
- r = 10
======================
Solve for s
- 45r + 12s = 522 Substitute r = 10
- 45*10 + 12s= 522 Simplify the left
- 450 + 12s = 522 Subtract 450 from both sides
- 450-450 + 12s = 522-450 Simplify
- 12S= 72 Divide by 12
- 12S/12 = 72 Do the division
- S = 6
X= -18 (negative eighteen)
