The system of equation that can be used to represent the situation is as follows:
The number of water bottle bought = 6
The number of pretzel bought = 10
Let
x = number of water bottle bought
y = number of pretzel bought
Hanson buys 16 items. Therefore,
Hanson spends a total of $47. Therefore,
<h3>Combined System of equation:</h3>
Therefore, let multiply equation(i) by 2
2x + 2y = 32
2x + 3.5y = 47
1.5y = 15
y = 15 / 1.5
y = 10
x + 10 = 16
x = 6
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Answer:
bus = 43
van 12
Step-by-step explanation:
This can be solved using simultaneous equations
Let v represent the number of students that a van carries
Let b represent the number of students that a bus carries
the following equations can be derived from the question
3v + 2b = 122 eqn 1
5v + 3b = 189 eqn 2
Multiply eqn 1 by 5 and eqn 2 by 3
15v + 10b = 610 eqn 3
15v + 9b = 567 eqn 4
Subtract equation 4 from 3
b = 43
Substitute for b in equation 1
3v + 2(43) = 122
solve for v
v = 12
We start out with x/3+6=-6. Subtract 6 from both sides, and you get x/3=-12. Multiply the equation by three and you get x=-36. x=-36 should be your final answer.
Answer: 12 9/10 and 10 7/8
Step-by-step explanation:
5 8/10 plus 7 1/10 equals 12 9/10
8 5/8 plus 2 2/8 equals 10 7/8
