two companies build houses.\n• company j builds half as many brick houses as wood houses.\n• the table below…

two companies build houses.\n• company j builds half as many brick houses as wood houses.\n• the table below shows the relationship between the number of brick houses and wood houses that company k builds.\n\n| wood houses | brick houses |\n| ---- | ---- |\n| 5 | 3 |\n| 10 | 6 |\n| 15 | 9 |\n| 20 | 12 |\n\neach company built 100 wood houses. how many more brick houses did company k build than company j?\n(a) 10\n(b) 15\n(c) 20\n(d) 25

two companies build houses.\n• company j builds half as many brick houses as wood houses.\n• the table below shows the relationship between the number of brick houses and wood houses that company k builds.\n\n| wood houses | brick houses |\n| ---- | ---- |\n| 5 | 3 |\n| 10 | 6 |\n| 15 | 9 |\n| 20 | 12 |\n\neach company built 100 wood houses. how many more brick houses did company k build than company j?\n(a) 10\n(b) 15\n(c) 20\n(d) 25

Answer

Explanation:

Step1: Find number of brick - houses for Company J

Company J builds half as many brick houses as wood houses. Given each company built 100 wood houses. So the number of brick houses Company J built is $\frac{1}{2}\times100 = 50$.

Step2: Find the ratio for Company K

From the table, the ratio of brick houses to wood houses for Company K is $\frac{3}{5}$.

Step3: Calculate number of brick - houses for Company K

If Company K built 100 wood houses, let the number of brick houses be $x$. Using the ratio $\frac{x}{100}=\frac{3}{5}$. Cross - multiply: $5x = 3\times100$, so $x=\frac{3\times100}{5}=60$.

Step4: Find the difference

The difference in the number of brick houses built by Company K and Company J is $60 - 50=10$.

Answer:

A. 10