SOLUTION: 3. The rates of exchange at a bank are as follows: Bz $1.00 = 8.85 Mexican Pesos Bz $1.00 = 3.80 Quetzal (a) A traveller changes 1900 Quetzal to Belize currency. Calculate t

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: 3. The rates of exchange at a bank are as follows: Bz $1.00 = 8.85 Mexican Pesos Bz $1.00 = 3.80 Quetzal (a) A traveller changes 1900 Quetzal to Belize currency. Calculate t      Log On

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Question 1190686: 3. The rates of exchange at a bank are as follows:
Bz $1.00 = 8.85 Mexican Pesos
Bz $1.00 = 3.80 Quetzal
(a) A traveller changes 1900 Quetzal to Belize currency. Calculate the amount received.


(b) Of the amount she received she spent Bz $154 and exchanged the remainder for Mexican currency. Calculate the amount in Mexican currency she received for this exchange.


Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
b = 1 unit of belize currency.
m = 1 unit of mexican currency.
q = 1 unit of quetzal currency.

1 * b = 8.85 * m
1 * b = 3.80 * q

(a) a traveler changes 1900 quetzal to belize. Calculate the amount received.

since 1 * b = 3.80 * q, then solve for q to get:
1 * q = 1 / 3.80 * b.
multiply both sides of this equation by 1900 to get:
1900 * q = 1900 / 3.80 * b = 500 * b.
she received 500 units of belize currency for 1900 units of quetzal currency.

(b) Of the amount she received she spent Bz $154 and exchanged the remainder for Mexican currency. Calculate the amount in Mexican currency she received for this exchange.

she received 500 units of belize currency.
she spent 154 units of belizse currency.
she had 500 - 154 = 346 units of belize currency left.
she exchanged this for mexican currency.
1 * b = 8.85 * m
multiply both sides of this equation by 364 to get:
364 * b = 364 * 8.85 * m
simplify to get:
364 * b = 3221.4 * m
she exchanged 364 units of belize currency for 3221.4 units of mexican currency.

let me know if you have any questions.
theo