Ratio

Algebra Level 3

If $A:B = 2:5$ , $B:C = 7:3$ , and $A+B+C = 450$ . What is the value of $C$ to 2 decimal places?

98.43 100 246.09 105.47

2 solutions

Nazmus Sakib
Mar 26, 2017

A:B = 2:5 = 2x7:5x7 = 14:35

B:C = 7:3=7x5:3x5=35:15

:. A:B:C = 14:35:15

Sum of the numbers = 14+35+15 = 64

:. Value of C = 450x(15/64) = 105.468

Answer: 105.468=105.47

Munem Shahriar
Mar 27, 2017

It was Given that,

$A : B = 2:5 ,B : C =7 : 3$

$2:5=2×7:5× 7$

$=14:35$

$7:3=7× 5:3× 5$

$=35:15$

$14+35+155=64$

$c = 450×(15÷64)$

$\approx 105.46875$ or $105.47$