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Varsha B.

Math Tutor for One Year

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Pre-Algebra

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Question:

Samuel divided the chocolates in 24 boxes. Each box holds 8 chocolates. How many chocolates did he have in all? Write the equation and solve.

Varsha B.

Answer:

As the total number of chocolates are not known let's define it as C Equation will be : C ÷ 24 = 8 To solve for C, do inverse operation of ÷ 24, which is x 24 on both sides. Hence C = 8 x 24 = 192 chocolates

Basic Math

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Question:

Sia is painting ceramic bowls as party favors. She paints stripe of every second bowl and circle on every third bowl. If she paints 24 bowls which egg will have both stripes as well as circles.

Varsha B.

Answer:

Every second bowl has stripes : 2, 4, 6, 8...... (Multiples of 2) Every third bowl has circles: 3, 6, 9, 12..... (Multiples of 3) Bowls having both stripes and circles will be common multiples : 6, 12, 18, 24 If the question would have been the first bowl in the sequence that has both stripes and circle then it would have been bowl number 6 ( which is least (first) common multiple LCM of both 2 and 3)

Algebra

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Question:

The area of the parallelogram is 45p^8q^6 (^ means to the power). If the height of the parallelogram is 9pq, what is the base of the parallelogram?

Varsha B.

Answer:

Area of the parallelogram = base x height. 45p^8q^6 = base x 9pq To solve this equation and get the value of base, we do inverse operation of times (x) 9pq and divide both sides by 9pq. 45p^8q^6 divided by 9pg = 5p^7q^5 (Apply dividing exponents rule)

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