Math
Describe a real- world problem that can be solved using the expression 29(3/8+5/6).
A real-world problem that can be solved using the expression 29(3/8+5/6) could be calculating the total cost of a trip to a theme park. Let's say there are 29 people in a group, and each person needs to pay for admission and additional expenses like food and souvenirs. The expression can be used to find the total cost per person based on the given fractions.
To solve the problem, we first add the fractions using a common denominator, which is 24.
(3/8 + 5/6) = (9/24 + 20/24) = 29/24
Next, we multiply the total cost per person (29/24) by the total number of people in the group (29).
29 * (29/24) = 841/24
Therefore, the expression 29(3/8+5/6) can be used to find that the total cost of the trip, including admission and additional expenses, is 841/24 for each person in the group.
Sure! One real-world problem that can be solved using the expression 29(3/8 + 5/6) is calculating the total cost of purchasing multiple items at different prices.
For example, let's say you want to buy 29 items, where 3/8 of the items cost one price and 5/6 of the items cost another price. The expression 29(3/8 + 5/6) will help find the total cost of purchasing all these items.
To solve this expression step-by-step, you can follow these steps:
Step 1: Add the fractions 3/8 and 5/6.
To add fractions, you need to find a common denominator. In this case, the least common denominator (LCD) of 8 and 6 is 24.
Multiplying the numerator (top number) and denominator (bottom number) of 3/8 by 3 gives you 9/24.
Multiplying the numerator and denominator of 5/6 by 4 gives you 20/24.
Step 2: Add the fractions with the same denominator.
9/24 + 20/24 = 29/24.
Step 3: Multiply the result from step 2 by 29 (the number of items).
29 * 29/24 = 841/24.
Therefore, the solution to the expression 29(3/8 + 5/6) is 841/24. This means the total cost of purchasing these items would amount to 841/24 of the total price, which can then be simplified or converted to a decimal if needed.