MATHEMATICS HIGH SCHOOL

Grandma’s Bakery sells single-crust apple pies for $6.99 and double crust cherry pies for $10.99. The total number of pies sold on a busy Friday was 36. If the amount collected for all the pies that day was $331.64, how many of each type were sold?

Answers

Answer 1
Answer:

Answer:

15 single-crust apple pies were sold and 21 double-crust cherry pies were sold.

Step-by-step explanation:

Let a be the number of single-crust apple pies sold

Let c be the number of double-crust cherry pies sold

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Yuron is sketching a scale drawing of a famous painting. The painting is 54 inches wide and 72 inches long. He used a scale factor of 2/3 to make his sketch. How many inches wide is Yuron’s sketch?

Answers

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Answer:  Yuron's painting is 36 inches wide.

Step-by-step explanation:  Given that Yuron is sketching a scale drawing of a famous painting which is 54 inches wide and 72 inches long. He used a scale factor of (2)/(3) to make his sketch.

We are given to find the width Yuron’s sketch.

Let, w and w' represents the width of the famous painting and  Yuron's painting.

Then, w = 54 inches,  w' = ?

We know that the scale factor is defined by

S=\frac{\textup{length of a side of the dilated figure}}{\textup{length of the corresponding side of the original figure}}.

Therefore, we have

(2)/(3)=\frac{\textup{width of Yuron's painting}}{\textup{width of the famous painting}}\n\n\n\Rightarrow (2)/(3)=(w')/(w)\n\n\Rightarrow (2)/(3)=(w')/(54)\n\n\n\Rightarrow w'=(2* 54)/(3)\n\n\n\Rightarrow w'=36.

Thus,  Yuron's painting is 36 inches wide.

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