1. In a class of 45, are boys. How many are girls?
a. What is asked in the problem? How many are girls
b. What are the given facts? 45, [tex]\frac{4}{9}[/tex]
c. What operations are to be used? Multiplication and Division
d. What is the number sentence? [tex]45 \times (1 - \frac{4}{9}) = n[/tex]
e. What is the solution?
- [tex]45\times \left(1-\frac{4}{9}\right)[/tex]
- Follow the PEMDAS order of operations
- Calculate within parentheses [tex](1-\frac{4}{9}) = \frac{5}{9}[/tex]
- [tex]=45\times \frac{5}{9}[/tex]
- Multiply and divide: [tex]45 \times \frac{5}{9} =[/tex]
- [tex]\boxed{\green{= 25}}[/tex]
f. What is the complete answer? [tex]\boxed{= 25}[/tex]
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2. Eggplants are sold at Php35 per kilogram and ampalaya at Php60 per kilogram. How much would you pay if you were to buy 5 kilograms of eggplants and 2 kilograms of ampalaya?
a. What is asked in the problem? How much would you pay if you were to buy 5 kilograms of eggplants and 2 kilograms of ampalaya?
b. What are the given facts? Eggplant Php 35 per kg and ampalaya Php 60 per kg [tex]5 \frac{1}{2}[/tex] kg eggplant, [tex]2 \frac{1}{3}[/tex] kg of ampalaya
c. What operations are to be used? Multiplication and Addition
d. What is the number sentence? [tex]\left(5\frac{1}{2}\cdot \:35\right)+\left(2\frac{1}{3}\cdot \:60\right) = n[/tex]
e. What is the solution?
- [tex]\left(5\frac{1}{2}\cdot \:35\right)+\left(2\frac{1}{3}\cdot \:60\right)[/tex]
- Convert mixed numbers to improper fractions: [tex]5 \frac{1}{2} = \frac{11}{2}[/tex]
- Convert mixed numbers to improper fractions: [tex]2 \frac{1}{3} = \frac{7}{3}[/tex]
- [tex]=\left(\frac{11}{2}\cdot \:35\right)+\left(\frac{7}{3}\cdot \:60\right)[/tex]
- Follow the PEMDAS order of operations
- Calculate within parentheses: [tex](\frac{11}{2} \cdot 35) = \frac{385}{2}[/tex]
- Calculate within parentheses: [tex](\frac{7}{3} \cdot 60) = 140[/tex]
- [tex]=\frac{385}{2}+140[/tex]
- Add and subtract: [tex]\frac{385}{2} + 140 = \frac{665}{2}[/tex]
- Convert improper fraction to mixed numbers: [tex]\frac{665}{2} = 332\frac{1}{2}[/tex]
- Convert mixed numbers to decimals: [tex]332\frac{1}{2} = 332.5[/tex]
- [tex]\boxed{\green{332.5}}[/tex]
f. What is the complete answer? [tex]\boxed{332.5}[/tex]
