x - Alma's given number
15•x - the number multiplied by 15 (the correct answer)
5•x - the number multiplied by Alma (Alma's answer)
her answer is 150 less than the correct answer:
5•x = 15•x - 150
15x - 150 = 5x
15x - 5x = 150
10x = 150
<u>x = 15</u>
Answer:
A If this is maths!!!
Step-by-step explanation:
If we rely solely on mathematics then the answer must be A. The other options seem to be from economy so it has nothing with mathematics. Please make sure that this is math task then answer.
Answer:
25b3a+93b+60a=30a2+b2
Step-by-step explanation:
Answer:
6.25 is the answer, I really dfon't know how to figure out which would be the procedure becuase I'm a little oxidated
Answer:
the prices were $0.05 and $1.05
Step-by-step explanation:
Let 'a' and 'b' represent the costs of the two sodas. The given relations are ...
a + b = 1.10 . . . . the total cost of the sodas was $1.10
a - b = 1.00 . . . . one soda costs $1.00 more than the other one
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Adding these two equations, we get ...
2a = 2.10
a = 1.05 . . . . . divide by 2
1.05 -b = 1.00 . . . . . substitute for a in the second equation
1.05 -1.00 = b = 0.05 . . . add b-1 to both sides
The prices of the two sodas were $0.05 and $1.05.
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<em>Additional comment</em>
This is a "sum and difference" problem, in which you are given the sum and the difference of two values. As we have seen here, <em>the larger value is half the sum of the sum and difference</em>: a = (1+1.10)/2 = 1.05. If we were to subtract one equation from the other, we would find <em>the smaller value is half the difference of the sum and difference</em>: b = (1.05 -1.00)/2 = 0.05.
This result is the general solution to sum and difference problems.
