All of the houses on Algebra Avenue in Mathopolis are either two or three stories high. The Mathemagician assures you that the t

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All of the houses on Algebra Avenue in Mathopolis are either two or three stories high. The Mathemagician assures you that the t

otal number of stories on Algebra Avenue is 95 more than the total number of houses on Algebra Avenue. The number of two-story houses is three times greater than the number of three-story houses. How many houses are on Algebra Avenue?

Mathematics

1 answer:

padilas [110] · Answer 1 · 2022-01-14T15:21:24+03:00

Answer:

The number of houses on Algebra Avenue are 76 houses

Step-by-step explanation:

The given information are;

Buildings on Algebra Avenue in Mathpolis = 2 or 3 stories high

Total number of stories = 95 + Total number of houses

The number of two-story houses = 3× The number of three-story houses

Let the number of three-story houses = X

Therefore, the number of two-story houses = 3 × X

Total number of stories = 3×X + 2×3×X = 9·X

The total number of houses = X + 3 × X = 4·X

Given that, the total number of stories = 95 + Total number of houses, we have;

9·X = 95 + 4·X

9·X - 4·X = 95

5·X = 95

X = 95/5 = 19

X = 19

The total number of houses = 4·X

Therefore, the total number of houses = 4 × 19 = 76 Houses.