cheesecake,strawberry and pandan cake cost $1,050.cheesecake is $75 more expensive than pandan cake.the strawberry cake is $33 less expensive than cheesecake.how much is the cost of each cake?
Let C be the cost of cheesecake
Let S be the cost of strawberry cake
Let P be the cost of pandan cake
Then,
C + S + P = 1050 (cheesecake,strawberry and pandan cake cost $1,050)
C = P + 75 (cheesecake is $75 more expensive than pandan cake)
S = C - 33 (the strawberry cake is $33 less expensive than cheesecake)
Substituting for S = C - 33 into C + S + P = 1050,
C + C - 33 + P = 1050
2C + P = 1083
Substituting for C = P + 75 into 2C + P = 1083,
2P + 150 + P = 1083
3P = 933
P = 311
C = P + 75 = 311 + 75 = 386
S = C - 33 = 386 - 33 = 353
The cake prices are: cheesecake = $386 Strawberry = $353, Pandan = $311