Answer:
p = -2/5 or 3/8
Step-by-step explanation:
|5 − 3p| + 9 = 13p + 8
|5 − 3p| = 13p − 1
If 5 − 3p is positive:
5 − 3p = 13p − 1
6 = 16p
p = 3/8
If 5 − 3p is negative:
-(5 − 3p) = 13p − 1
-5 + 3p = 13p − 1
-4 = 10p
p = -2/5
Alternatively, we can square both sides of the equation:
(5 − 3p)² = (13p − 1)²
25 − 30p + 9p² = 169p² − 26p + 1
0 = 160p² + 4p − 24
0 = 40p² + p − 6
0 = (5p + 2) (8p − 3)
p = -2/5 or 3/8
13 lbs shared between 3 batches . . .
13/3 = 4 1/3 lbs each
The two whole numbers would be 4 and 5
36 × 24 = 864 square inches. 864 sq in × $0.05 = $43.20. The green poster cost $43.20
12 × 18 = 216 square inches. 216 sq in × $0.05 = $10.80. The red poster cost $10.80
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