1. Last summer, Berting sold ice-buko. on a certan day, he observed that the money he had consisted of 25 centavos and 5 peso coins. in fact 9 less than twice the number of 25 centavo coins was the number of 5 peso coins. these coins were valued at 129.25 pesos. how many coins of each type were there?
2. Mang Asyong sells sago in 4 kilo and 3 kilo containers. with much demand for sago he sold 30 containers containing 100 kilos. how many of each type did he sell?
3. A bank teller counted 100 peso and 50 peso bills. ths totaled to 117 bills worth 9950 pesos. how many of each type did she have?
4. Roy prepared for the opening of the school. he started buying padpapers and ballpens at 17 pesos and 10 pesos respectively. he brought a total of 9 items . had he bought 1 padpaper less and 1 more pen he would have spent 125 pesos . how many pens did he buy?
Here's the first one
Let x be the number of 25 centavo coins
And 2x - 9 = the number of 5 peso coins.....and a peso is worth 100 centavos.....so 5 pesos = 500 centavos
And 129.25 pesos = 12925 centavos....and we have....
25x + 500 (2x - 9) = 12925 simplify
25x + 1000x - 4500 = 12925
1025x = 17425 divide both sides by 1025
x = 17 this is the number of 25 centavo coins
2(17) - 9 = 34 - 9 = 25 this is the number of 5 peso coins
I do not understand the first one.
second one
2. Mang Asyong sells sago in 4 kilo and 3 kilo containers. with much demand for sago he sold 30 containers containing 100 kilos. how many of each type did he sell?
Let
x be the number of 4kg containers and
y be the number of 3Kg containers
4x+3y=100 and x+y=30
Can you take it from there?
3. A bank teller counted 100 peso and 50 peso bills. ths totaled to 117 bills worth 9950 pesos. how many of each type did she have?
Let
F be the number of fiftties and
H be the number of hundreds
F+H=117
100H+50F=9950
Can you take it from there :)
Here's the first one
Let x be the number of 25 centavo coins
And 2x - 9 = the number of 5 peso coins.....and a peso is worth 100 centavos.....so 5 pesos = 500 centavos
And 129.25 pesos = 12925 centavos....and we have....
25x + 500 (2x - 9) = 12925 simplify
25x + 1000x - 4500 = 12925
1025x = 17425 divide both sides by 1025
x = 17 this is the number of 25 centavo coins
2(17) - 9 = 34 - 9 = 25 this is the number of 5 peso coins