Question

1. Pressure P (in pounds per square foot) on a diver at a depth of D feet. Solve for D: P=64d+2112

2. The selling price of a pair of pants is $34. If the store paid $8 less for the pants, find the price the store paid.

3. The sum of three numbers is 123. The second number is 9 less than two times the first number. The third number is 6 more than three times the first number. Find the three numbers.

Answer 1

1. P=64d+2112 ; solve for D.
P=64d+2112
P - 2112 = 64d
(P - 2112)/64 = d

2. The store is selling pants for $34, but they bought it for $8 less.
34 - 8 = 26
They paid $26 for the pair of pants.

3. x + y + z = 123
y = (2x) - 9
z = (3x) + 6
x + (2x - 9) + (3x + 6) = 123
6x - 3 = 123
6x = 126
x = 21
y = 2(21) - 9
y = 42 - 9
y = 33
z = 3(21) + 6
z = 63 + 6
z = 69
20 + 33 + 69 = 123
The three numbers are 21, 33, and 69.