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1. Thrice what number is the same as the sum of 254 and 346?
2. Rj pays 6 pesos for a one way ride to school.For how many two-way fares is 100 pesos enough?
3. If i add 5 to one-third of a number, i get one-half of the number .what is the number?
4.The volume of a cube is 125cm3.What is its total surface area?
5. A man left his house at 10:15 a.m. and reached a town 30km away at 10:55 a.m. What was his average speed for the journey?
6. Write 5.625 as an improper fraction with the fraction part in lowest terms.
7. A salesman receives a monthly basic salary of three thousand five hundred pesos and a commission of 7% on all sales for the month.How much did he earn in a month when his sales was two hundred thousand forty-five and five hundred pesos?

Sagot :

1. 3x = 254 + 346
    3x = 600
   [tex] \frac{3x}{3}= \frac{600}{3} [/tex]
   x = 200

2. [tex] \frac{P100}{P12} = 8.33[/tex] final answer: 8 two-way fares.

3. 5 + [tex] \frac{n}{3} = \frac{n}{2} [/tex]
   5 + [tex]6( \frac{n}{3} ) = 6( \frac{n}{2} )\\5 + 2n = 3n\\5 = 3n - 2n\\5 = n[/tex]

4. [tex]V= s^{3} \\125 cm^3 = s^3\\ \sqrt[3]{125 cm^3} = s^3\\5 cm = s[/tex]
[tex]S.A=6s^2\\S.A = 6(5cm)^2\\S.A = 6(25cm^2)\\S.A = 150cm^2[/tex]

5. distance = 30 km            time = 40 mins. 
speed = [tex] \frac{d}{t} [/tex] 
[tex]speed= \frac{30km}{40mins.} = 0.75km/min[/tex]

6. [tex]5 \frac{625}{1000} = \frac{5625}{1000} = \frac{225}{40} [/tex]

7. Basic salary = P3500
Rate of Commission = 7% or 0.07
Sales =P 245 500
Salesman's earnings = x

P 245 500 (0.05) + P 4 500 = x
P 12 275 + P4 500 = x
P16 775 = x
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