SOLUTION: 1. The sum of 12 and the quantity 8 times a number k is equal to 48 2. The product of 9 and the quantity 5 more then a number t is less then 6

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: 1. The sum of 12 and the quantity 8 times a number k is equal to 48 2. The product of 9 and the quantity 5 more then a number t is less then 6       Log On


   

Question 211323: 1. The sum of 12 and the quantity 8 times a number k is equal to 48
2. The product of 9 and the quantity 5 more then a number t is less then 6
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Write an equation for what it says:
:
1. The sum of 12 and the quantity 8 times a number k is equal to 48
12 + 8k = 48
8k = 48 - 12
8k = 36
k = 36%2F8
k = 4.5
:
Check solution:
12 + 8(4.5) = 48
12 + 36
:
:
2. The product of 9 and the quantity 5 more then a number t is less then 6
9(t+5) < 6
9t + 45 < 6
9t < 6 - 45
9t < -39
t < %28-39%29%2F9
t < -41%2F3
:
Test solution with a number slightly less than -4.33, say -4.5
9(-4.5+5) < 6
9(.5)
4.5 < 6