Answered

Welcome to Westonci.ca, your one-stop destination for finding answers to all your questions. Join our expert community now! Connect with a community of experts ready to help you find solutions to your questions quickly and accurately. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

5 of 5
Paul, Fiona and Pip share some sweets in the ratio 4:5:1. Paul gets 15 more sweets than Pip.
How many sweets does Fiona get?

Sagot :

elcharly64

Answer:

Fiona gets 25 sweets

Step-by-step explanation:

System of Equations

Paul, Fiona, and Pip have some sweets in the ratio 4:5:1. Let's call x,y, and z the number of sweets they have respectively.

The ratios can be written as three separate equations:

[tex]\frac{x}{y}=\frac{4}{5}\qquad\qquad[1][/tex]

[tex]\frac{y}{z}=\frac{5}{1}\qquad\qquad[2][/tex]

[tex]\frac{x}{z}=\frac{4}{1}\qquad\qquad[3][/tex]

Paul has 15 more sweets than Pip, then:

x = z + 15        [4]

Multiplying [3] by z:

x = 4z

Substituing in [4]

4z = z + 15

Subtracting z:

3z = 15

z = 15/3 = 5

Multiplying [2] by z:

y = 5z = 5*5 = 25

Fiona gets 25 sweets

Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.