HHenry is going on a trip to Brazil. He is currently deciding which cities he will visit during his stay. The table below shows
potential cities he could visit, as well as what he estimates it will cost him to visit each one. All costs are given in Brazilian reals (R$). City
Cost (R$)
Salvador
224
Duque de Caxias
242
Rio de Janeiro
193
Campinas
185
Porto Alegre
153
Guarulhos
120
Fortaleza
201
Henry’s original plan was to visit Duque de Caxias, Campinas, Rio de Janeiro, and Guarulhos. However, he only has R$699 to spend, so he cannot afford to use his original itinerary. Which of the following changes will be the cheapest swap Henry can make and still come in under budget?
a.
Replace Duque de Caxias with Salvador.
b.
Replace Duque de Caxias with Fortaleza.
c.
Replace Rio de Janeiro with Porto Alegre.
d.
Do not visit Guarulhos.
First, sum up the total expenses for the original plan
Duque de Caxias + Campinas + Rio de Janeiro + Guarulhos = 242+185+193+120 = R$740
It is clearly over the intended budget. The average cost per itinerary is around R$200 so we will consider making a swap on either Duque de Caxias and Rio de Janeiro. Possible answers are (b) or (c)
for (b) Replace Duque de Caxias with Fortaleza, we will have
Fortaleza + Campinas + Rio de Janeiro + Guarulhos = ⇒ 201+185+193+120 = R$699 ⇒ This is exactly the budget intended for the trip for (C) Replace Rio de Janeiro with Porto Alegre Duque de Caxias + Campinas + Porto Alegre + Guarulhos = ⇒ 242 + 185 + 153 +120 = R$ 700 ⇒ This is over R$1
