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Kruka [31]
3 years ago
8

The larger number of two is seven less than three times the smaller number. If the sum of the numbers is 61, find the numbers.

Mathematics
1 answer:
Reika [66]3 years ago
5 0

Answer:

27 and 34

Step-by-step explanation:

2x+7=61

2x=54

x=27

27+7=34

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Each ride has a fixed cost of 7 and a cost that increases proportionally to the distance travelled of 0.25 per mile. Therefore the total cost of the ride is:

\text{ cost(x)}=0.25\cdot x+7

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\begin{gathered} \text{ cost(x)}\leq30 \\ 0.25\cdot x+7\leq30 \end{gathered}

We can solve the linear equation by isolating the "x" variable on the left side.

\begin{gathered} 0.25\cdot x\leq30-7 \\ 0.25\cdot x\leq23 \\ x\leq\frac{23}{0.25} \\ x\leq92 \end{gathered}

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Answer:

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Step-by-step explanation:

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