Answer:
16 : 19
Step-by-step explanation:
Word problems related to ratio:
Total height of three friends = 470 cm
Ratio of the height of Sasha and Tess = 3 : 4
Height of Sasha = 3x
Height of Tess = 4x
Wendy is 30 cm taller than Tess. We can find Wendy's height by adding 30 to '4x'.
Wendy's height = 30cm + height of Tess
= 30 + 4x
Total height = 470
3x + 4x + (30 +4x) = 470
3x + 4x + 4x + 30 = 470
Combine like terms,
11x + 30 = 470
Subtract 30 from both sides,
11x = 470 - 30
11x = 440
Divide both sides by 11,
x = 440 ÷ 11
x = 40
Height of Tess = 4x
= 4 *40
= 160 cm
Height of Wendy = 30 + height of Tess
= 30 + 160
= 190 cm
[tex]\sf \text{Ratio of Tess to Wendy = $\dfrac{160}{190}$}[/tex]
= 16 : 19
