Sa mga sumasagot ng
tanong sa ibaba, narito po ang solution at paliwanag:
Thirty five students
went to the market. 27 of them bought mangoes and 32 bought bananas.
1. How many students bought mangoes only?
2. How many only bought bananas?
3. How many bought both mangoes and bananas?
Kapag ganito na ang
birada ng tanong, dapat ay mag-assign agad tayo ng letter o representation para
sa unknown.
Let Z = number of students who bought mangoes
and bananas
Let 27 – Z = number of students who bought only mangoes
Bakit ibabawas natin ang Z sa 27?
Para lumabas ang mga students na bumili lamang ng mangga.
Let 32 – Z = number of students who bought
only bananas
Bakit ibabawas natin ang Z sa 32?
Para lumabas ang mga students na bumili lamang ng saging.
I-set up ang equation:
Z + (27-Z) + (32-Z) =
35
Bakit equals sa 35?
Dahil 35 ang kabuuan ng mga
mag-aaral.
Solve for Z:
Z + (27-Z) + (32-Z) =
35
-Z = 59 = 35
-Z = 35 – 59
-Z = - 24
Multiply by (-1) to
make the answer positive.
-1 x (-Z) = -1 X (-24)
Z = 24 ==> number
of students who bought mangoes and bananas
27 – Z = 27 –
24 = 3 ===> number of students who bought only mangoes
32 – Z = 32 – 24 = 8
===> number of students who bought only bananas
24 + 3 + 8 = 35 ==>
total number of students
Sana ay maunawaan at
magamit sa test.
