Please help!
At a cup cake baking competition, Alan baked 55 fewer cupcakes than Tom while Sally baked twice as many cupcakes as what Alan and Tom baked together. If the three of them baked a total of 1125 cupcakes, how many cupcakes did Tom bake?
Many thanks
a = t-55
s = 2(a+t)
a+t+s = 1125
a = 160
t = 215
s = 750
A wooden crate half full pineapples has a mass of 14kg. The same crate one third full of pineapples has a mass of 12kg.
What is the mass of the empty crate?
Please help! Many thanks.
To solve this problem, let's start by assigning variables to the unknown quantities. Let's say Tom baked T cupcakes.
According to the information given, Alan baked 55 fewer cupcakes than Tom, so Alan baked T - 55 cupcakes.
Sally baked twice as many cupcakes as what Alan and Tom baked together. The total number of cupcakes baked by Alan and Tom is (T + T - 55) = 2T - 55 cupcakes. Therefore, Sally baked 2(2T - 55) cupcakes.
Now let's add up the number of cupcakes baked by each person: T + (T - 55) + 2(2T - 55) = 1125
Simplifying the equation:
T + T - 55 + 4T - 110 = 1125
6T - 165 = 1125
Adding 165 to both sides:
6T = 1125 + 165
6T = 1290
Dividing both sides by 6:
T = 1290 / 6
T ≈ 215
Therefore, Tom baked approximately 215 cupcakes.