Math Problem Statement

Based on the math questions provided in the image, including multiplication, division, and calculating change.

Solution

Let's work through the math problems from the image you uploaded. I'll go step by step, beginning with the ones visible in the image:

30. Multiply the sum of 431.17 and 281.29 by 3.7. What is the result?

First, sum the two numbers:

431.17+281.29=712.46431.17 + 281.29 = 712.46

Next, multiply the result by 3.7:

712.46×3.7=2,635.102712.46 \times 3.7 = 2,635.102

Answer: A. 2,635.102


31. Adult tickets in an animal show sell at ₱125.05, and children at ₱99.35. If 25 parents and 70 children watched the show, how much did the show earn?

Calculate the total earnings from adults and children: Adults: 25×125.05=3,126.25\text{Adults:} \ 25 \times 125.05 = 3,126.25 Children: 70×99.35=6,954.5\text{Children:} \ 70 \times 99.35 = 6,954.5

Now sum these two: 3,126.25+6,954.5=10,080.753,126.25 + 6,954.5 = 10,080.75

Answer: D. ₱10,080.75


32. Mr. Cortez bought 3 pocketbooks for ₱37.85 each and 6 posters for ₱21.75 each. How much was his change if he gave the seller a ₱1000 bill?

First, find the total cost of the items: Books: 3×37.85=113.55\text{Books:} \ 3 \times 37.85 = 113.55 Posters: 6×21.75=130.50\text{Posters:} \ 6 \times 21.75 = 130.50 Total cost: 113.55+130.50=244.05\text{Total cost:} \ 113.55 + 130.50 = 244.05

Now, subtract the total cost from ₱1000: 1000244.05=755.951000 - 244.05 = 755.95

Answer: C. ₱755.95


33. Suzanne purchased a computer set costing ₱23,789.25 plus value-added tax at 0.12 times the cost. How much did she pay in all for the computer set?

First, calculate the tax: Tax: 23,789.25×0.12=2,854.71\text{Tax:} \ 23,789.25 \times 0.12 = 2,854.71

Now, add the tax to the original cost: 23,789.25+2,854.71=26,643.9623,789.25 + 2,854.71 = 26,643.96

Answer: D. ₱26,643.96


34. 288 divided by 0.4 equals what?

288÷0.4=288×104=720288 \div 0.4 = 288 \times \frac{10}{4} = 720

Answer: B. 720


If you'd like, I can go through the remaining questions on the page or provide more details on any of these problems.

Here are some follow-up questions for practice:

  1. What is 125.05 × 50?
  2. If 45 children attend the show and each ticket costs ₱99.35, how much is earned?
  3. How would the result of question 30 change if the multiplier was 4.7 instead of 3.7?
  4. In question 33, how much would the computer set cost without any tax?
  5. How do you find the total tax in question 33 if the tax rate increases to 15%?

Tip: When multiplying decimals, it's helpful to count the decimal places in both numbers and include that many in the result!

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Math Problem Analysis

Mathematical Concepts

Arithmetic Operations
Decimal Multiplication
Division
Percentage Calculation
Basic Algebra

Formulas

Sum: a + b
Multiplication: a * b
Division: a ÷ b
Percentage Calculation: Original Cost * Tax Rate
Change Calculation: Given Amount - Total Cost

Theorems

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Suitable Grade Level

Grades 4-6