Mathematics: joe and james are selling pies for a school fundraiser. Customers can buy blueberry pies and blackberry pies. Joe sold 5 blueberry pies and 10 blackberry for a total of $135. James sold 1 blueberry pie and 9 blackberry pies and 10 blackberry pies for a total of 104. Find the cost each of one blueberry pie and one blackberry pie.

joe and james are selling pies for a school fundraiser.

Squara

12.10.2022

1.) Scale factor from the actual flower garden to the scale drawing = 20 : 1

2.) Dimensions of the flower garden in the new scale drawing = 7.5 inches × 11.25 inches

3.) Scale factor from the actual flower garden to the new scale drawing = 8:1

Step-by-step explanation:

Given - Penny’s backyard contains a flower garden. The dimensions of the

actual garden are 5 feet by 7½ feet. A scale drawing of the flower

garden is 3 inches by 4.5 inches.

To find - 1. What is the scale factor from the actual flower garden to the

scale drawing?

2. If the drawing is enlarged by a scale factor of 5/2, what would

be the dimensions of the flower garden in the new scale

drawing?

3. What is the scale factor from the actual flower garden to the

new scale drawing?

Proof -

As we know that,

1 feet = 12 inches

⇒5 feet = 5×12 = 60 inches

7½ (= $\frac{15}{2}$ ) feet = $\frac{15}{2}$ ×12 = 90 inches

∴ we get

The dimensions of the actual garden is 60 inches by 90 inches.

1.)

As,

$\frac{60}{3} = \frac{20}{1} = 20 : 1$

$\frac{90}{4.5} = \frac{900}{45} =\frac{20}{1} = 20 : 1$

So,

Scale factor from the actual flower garden to the scale drawing = 20 : 1

2.)

As given, If the drawing is enlarged by a scale factor of 5/2

⇒Dimensions of flower garden = 3× $\frac{5}{2}$ inches by $4.5 (\frac{5}{2})$ inches

= 7.5 inches by 11.25 inches

∴ we get

Dimensions of the flower garden in the new scale drawing = 7.5 inches × 11.25 inches

3.)

Scale factor from the actual flower garden to the new scale drawing = $\frac{60}{7.5}$ = $\frac{600}{75} = \frac{8}{1} = 8 : 1$

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