When Christy made tortillas for the first time, she used all the dough to make 10 tortillas. After making quesadillas, she decided that the tortillas were not large enough. The next time, using the same amount of dough, she made each tortilla the same thickness but 25% larger.
a. How many tortillas did Christy make the second time?
b. If the area of each tortilla in the second batch is 201 in.2, what was the area of each tortilla in the first batch?
a. (1 - .25) 10 = x
b. 1.25x = 201
Solve for x.
Thank you PsyDAG this will be very helpful.
You are welcome!
To solve these questions, we need to use the information provided and apply some simple concepts of math. Let's break down each question step by step:
a. To solve for the number of tortillas Christy made the second time, we need to know the total amount of dough she used for the first batch of 10 tortillas. Let's assume she started with a specific amount of dough (X). Since she used all the dough to make 10 tortillas, we can set up a proportion to find out the amount of dough used for each tortilla:
10 tortillas = X amount of dough
1 tortilla = X/10 amount of dough
Now, in the second batch, Christy used the same amount of dough (X). However, each tortilla was 25% larger than the first batch. To find how many tortillas she made this time, we can set up another proportion:
1 tortilla (in the second batch) = 1.25 (25% larger) * (X/10) amount of dough
Since she used the same amount of dough for each tortilla as the first batch, we can set up an equation as follows:
10 tortillas = (X/10) / (1.25 * (X/10))
Simplifying the equation, we get:
10 = 1 / 1.25
10 = 0.8
Therefore, we can conclude that Christy made 0.8 tortillas in the second batch. However, we can't have a fraction of a tortilla, so we need to round this number to the nearest whole number. Thus, she made 1 tortilla in the second batch.
b. To find the area of each tortilla in the first batch, we need to know the area of each tortilla in the second batch and the ratio between the two batches. Given that the area of each tortilla in the second batch is 201 in², we can set up another proportion:
Area of each tortilla in the first batch / Area of each tortilla in the second batch = (1/1.25)²
Let A represent the area of each tortilla in the first batch:
(A/201) = (1/1.25)²
Simplifying the equation, we get:
(A/201) = 0.64
Cross-multiplying, we get:
A = 0.64 * 201
A ≈ 128.64
Therefore, the area of each tortilla in the first batch was approximately 128.64 square inches.