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Sagot :
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
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