Question

Smiths bakery is baking several large cakes for a community festival. The cakes consist of two geometrically similar shapes as shown. If 50 pieces of cake can be cut from the smaller cake, how many pieces of the same size can be cut from the larger cake? Round to the nearest piece of cake

Answer 1

This question is not complete because there is no diagram present

Find attached to this solved answer the diagram for this question

Answer:

312.5 pieces of cake

Explanation:

From the diagram, we where given the following parameters for :

a. The Large Cake

Length = 5ft

Breadth = 4ft

b. The Small cake

Length = 2ft

Breadth = 1.6ft

The shape of the cake is a square shape

Hence,

For the Large cake we would find the Area.

Area of a Square = Length × Breadth

Area of the Large cake = 5ft × 4ft

= 20ft²

Area of the Small cake = 2ft × 1.6ft

= 3.2ft²

For the question, 50 pieces of cake where taken from the smaller cake

We are to find how many pieces of cake can be taken from the smaller cake.

Hence if

3.2ft² of the small cake gives =50 pieces of cake

20ft² of the large cake gives = ?

We cross multiply

= (20ft² × 50 pieces) ÷ 3.2ft²

= 312.5 pieces of cake.

Hence the large cake would give us 312.5 pieces of cake.

Answer 2

Approximately 313 cakes of similar size as those 50 cut from the smaller cake, can be cut from the bigger cake.

Explanation:

The complete question is with the missing image of the cakes is attached to this solution.

From the image provided, the dimensions of the smaller cake = 2 ft × 1.6 ft

The dimensions of the larger cake = 5 ft × 4 ft

50 cakes are obtained from the smaller cake, how many cakes can be obtained from the bigger cake?

Area of the smaller cake = 2 × 1.6 = 3.2 ft²

Area of the bigger cake = 5 × 4 = 20 ft²

3.2 ft² cake provides 50 cakes.

20 ft² cake will provide (20×50/3.2) cakes = 312.5 cakes

Rounded to the nearest piece of cake = 313 cakes

Hope this Helps!!!