Answered

Welcome to Westonci.ca, where you can find answers to all your questions from a community of experienced professionals. Connect with a community of experts ready to provide precise solutions to your questions quickly and accurately. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

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 using our platform. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.