Question

A mother is buying two types of chocolate truffles for her children. The oldest child likes white truffles (W), the younger two like dark chocolate (D) and the spouse likes white chocolate (W). Three white chocolate truffles (W) cost the same as two dark chocolate truffles (D). If the parent bought 5 white chocolate truffles (W) and 10 dark chocolate truffles (D) and spent $60.00 how much was each chocolate truffle?

Answer 1

As we have to given

3*W = 2*D

this implies, W=(2/3)*D ......(1)

Now as the parent bought 5 white and 10 dark which cost $60

therefore, 5*W + 10*D = $60 ......(2)

put the value of W from equation(1) to equation (2) then we get,

=> 5*(2/3)*D + 10*D = $60

=> (10/3)*D + 10*D = $60

=> (10*D + 3*10*D)/3 = $60

=> 40*D/3 = $60

=> 40*D = $180

=> D = $ 180/40 = $4.50

=> D = $4.50

now put the value of D in equation (1)

=> W= (2/3)* $4.50 = $9/3 = $3.00

=> W = $3

So each white chocolate truffle $3.00

each Dark chocolate truffle $4.50