Answer: (C) 16
Step-by-step explanation:
Given : Number of sizes of self-stick notepads= 2
Number of colors = 4
Type 1 : The store packs the notepads in packages that contain 3 notepads of the same size.
i.e. By Fundamental principle of counting , we have
Number of different packages possible = Number of colors x No. of sizes
= 
Type 2: Notepads of the same size and of 3 different colors.
Choices for 3 different colors out of 4 : 
Again by fundamental principle :
Number of different packages possible = No. of choices for choosing 3 different colors x No. of sizes
= 
From Type 1 and Type 2 , the total number of different packages of the types described above are possible =8+8= 16
Hence, the correct answer is option (c) 16.
3a+b+a+b = (3a+a) + (b+b) = 4a + 2b
Answer:
1 plain pizza costs $10.50 and 1 pepperoni pizza costs $12.50
Step-by-step explanation:
Jack: 3x+2y= 58.5
Jill: 2x+4y=67
a) Multiply both equations so that one of the coefficients (number before the letter) are equal:
6x+4y=117
6x+12y=201
b) We can now easily subtract them to get:
(subtracted 6x) 4y=117 12y=201 (12y-4y and 201-117 next) 8y=84
c) Now we can divide 84 by 8 to get y=10.5, so now we can substitute it into any of the equations:
2x+(4*10.5)=67 --> 2x+42=67 -(subtract 42 from both sides)-> 2x=25 -(divide both side by 2)-> x=12.5.
d) To check if it works: 2(12.5)+4(10.5)=67 25+42=67 so it's correct.