Question

Henry 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.


Please select the best answer from the choices provided

A
B
C
D

Answer 1

First compute the original total:
242 + 185 + 193 + 120 = R$740 (R$41 over the R$699 budget).

Check each change:

a) Replace Duque de Caxias (242) with Salvador (224): 740 − 242 + 224 = R$722 (still over budget).
b) Replace Duque de Caxias (242) with Fortaleza (201): 740 − 242 + 201 = R$699 (meets the R$699 limit).
c) Replace Rio (193) with Porto Alegre (153): 740 − 193 + 153 = R$700 (still over budget).
d) Do not visit Guarulhos (remove 120): 740 − 120 = R$620 (under budget, but reduces cost more than necessary).

The cheapest swap that gets him within the R$699 limit is (b). Answer: B.