Question

£400 is divided between David, Elise and Farquhar so that David has twice as much as Ellie and Ellie has three times as much as Farquhar. How much does Ellie receive? (3)

Answer 1

Answer:

David-240

Elise-120

Farquhar-40

Step-by-step explanation:

let a = money that David gets.

let b = money that Elise gets.

let c = money that Farquhar gets.

you get a + b + c = 400

you are given that:

a = 2b

b = 3c

since a = 2b and b = 3c, this means that a = 2 * 3c = 6c

you get:

a = 6c

b = 3c

c = c

replace a and b with their equivalents in the equation of a + b + c = 400.

you get 6c + 3c + c = 400

combine like terms to get 10c = 400

solve for c to get c = 40

since b = 3c, this means that b = 120.

since a = 2b, this means that a = 240.

you have:

a = 240

b = 120

c = 40

a + b + c = 240 + 120 + 40 which is equal to 400

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