Problema Solution
In a purse is 3.05 pesos in 5-centavo and 10-centavo coins, 19 more 5-centavo coins than 10-centavo coins. How many coins does he have in the purse?
Answer provided by our tutors
1 peso = 100 centavos
3.05 pesos = 305 centavos
Let
x = the number of 5-centavo coins
y = the number of 10-centavo coins
5x + 10y = 305
There are 19 more 5-centavo coins than 10-centavo coins:
x = y + 19
We have the following system of equations:
5x + 10y = 305
x = y + 19
........
click here to see the system of equations solved for x and y
........
x = 33 5-centavo coins
y = 14 10-centavo coins
There are 33 5-centavo and 14 10-centavo coins in the purse.