Answer:
1. 2w + 3p = 7.05
2. p = 1.35
w = 1.50
p = 1.35
- The solution means that a bottle of water costs $1.50 and a bag of pretzels costs $1.35
Explanation
1) Translate the verbal language to algegraic language to create the equations which you can solve.
w = cost of one bottle of water
p = cost of one bag of pretzels
the cost of 2 bottles of water: 2w
the cost of 3 bags of pretzels: 3p
the cost of 2 bottles of water and 3 bags of pretzels is $7.05:
2w + 3p = 7.05 Equation 1
the cost of a bag of pretzels is $ 1.35: p = 1.35 Equation 2
1. 2w + 3p = 7.05
2. p = 1.35
2) Solve the system using substitution method: substitute p with 1.35 in the first equation:
3) Steps to solve the equation:
- Simplify: 2w + 4.05 = 7.05
- Subtract 4.05 from both sides: 2w = 3
- Divide both sides by 2: w = 3/2 = 1.50
Answer: you have found the costs of both a bottle of water and a bag of pretzels, which, repectively, are $ 1.50 and $ 1.35
There is a 5/12 chance that the marble will be blue. The reasoning behind this is that if you count all the marbles it will equal 12. So then all you have to do is see how many blue marbles there are, put that as the numerator, and put 12 as the denominator.
9514 1404 393
Answer:
- 63 in the class
- (C+B)P' = 25
- (C+B+P)' = 18
Step-by-step explanation:
The number of students in the class is the total of all numbers on the diagram:
9 +5 +11 +6 +3 +4 +7 +18 = 63 . . . students in the 2015 senior class
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Students taking Chem or Biology, but not Physics are those in the colored area, excluding those in the green:
9 +5 +11 = 25 science students not taking Physics
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Students not taking science are those outside the colored areas:
18 students are not taking science