Question

the height of three plants A,B and C in a garden are in the ratio2:3:5 . Their mean height is 30 cm. If another plant D is added to the garden and the mean height of the four plants is now 33cm, Find the height of the plant D (p.s. the height of plant B is 27 cm)

Answer 1

given,

ratio of heights of plants = 2:3:5 = 2x:3x:5x

Mean of heights of three plants = 30cm

=>2x+3x+5x/3=30

=>10x=90

=>x=90/10=9cm

Height of A plant = 2x = 2×8 = 18cm

Height of B plant = 3×9 = 27cm

Height of C plant = 5×9 = 45cm

let the height of D plant be y

but given,

mean of four plants = 33cm

=>17+27+45+y/4 = 33

=>90+y/4 = 33

=>90+y = 132

=>y = 132- 90 = 42cm

The height of the D plant is 42cm

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