Emma and Ann each want to buy the same backpack. Ann has already saved $63,which is 34 the cost of the backpack. Emma has already saved 50% of the cost of the backpack.How much money has Emma saved?

To solve this problem, we need to find out how much Emma has saved, given that she has saved 50% of the cost of the backpack. First, we need to determine the total cost of the backpack.

We are told that Ann has saved $63, which is $ \frac{3}{4} $ (three-fourths) of the cost of the backpack. Let the cost of the backpack be denoted as $ C $.

So, according to the problem:
\[
\frac{3}{4} \times C = 63
\]

To find $ C $, divide both sides by $ \frac{3}{4} $ (or multiply by $ \frac{4}{3} $):
\[
C = 63 \times \frac{4}{3} = 84
\]

So, the total cost of the backpack is $84.

Since Emma has saved 50% of the cost of the backpack, we now calculate 50% of $84:
\[
\text{Emma's savings} = 0.50 \times 84 = 42
\]

Thus, Emma has saved **$42**.

Would you like any additional details or clarifications on this?

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Here are five related questions to explore further:
1. How much more does Ann need to save to buy the backpack?
2. If the backpack was discounted by 20%, how much would it cost?
3. What fraction of the total cost has Emma saved?
4. If the cost of the backpack increased by 10%, what would the new price be?
5. How much would each person save if they split the cost equally?

**Tip:** To find a fraction of a number, multiply the fraction by the number. For example, to find 3/4 of $84, multiply $ \frac{3}{4} \times 84 $.

Emma and Ann each want to buy the same backpack. Ann has already saved $63, which is 3/4 the cost of the backpack. Emma has already saved 50% of the cost of the backpack. How much money has Emma saved?

Solve how much Emma has saved for a backpack when Ann has saved $63, which is 3/4 of the cost. Use proportions and percentages to find that Emma saved $42. This is a great exercise for students in Grades 6-8, involving basic algebra and proportion concepts.

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