## How much should the jeweler pay?

According to the combination of the two, the jeweler would have to pay R $ 20,00 for the lodging if he sold the jewels for R $ 100,00 and would have to pay R $ 35,00 if he sold them for R $ 200,00. We have like this:

Sale price | Hosting Cost |

200 | 35 |

100 | 20 |

The difference of R $ 100,00 in the sale price, corresponds to a difference of R $ 15,00 in the price of the accommodation. If an increase of $ 100 on sale would bring an increase of $ 15.00 on hosting, the addition of $ 40 would bring an increase of x

$ 100 ----> $ 15

$ 40 ----> x

x * 100 = 40 * 15

x = $ 6.00

Therefore, the jeweler must pay the innkeeper: R $ 20,00 + R $ 6,00 = **R $ 26.00**

Back to the statement