Martina has three lorry loads of paving slabs. There are x paving slabs on lorry a. There are (2x-1) paving slabs on Lorry B. There are (3x+5) paving slabs on lorry c. There is a total of 58 paving slabs on the three lorries. All the paving slabs have the same mass. The paving slabs on lorry B have a total mass of 680 kg. Work out the total mass of the paving slabs on lorry A
Let's first find the value of x:
Total number of paving slabs = x + 2x - 1 + 3x + 5 = 58
6x + 4 = 58
6x = 54
x = 9
Now we can calculate the total mass of the paving slabs on lorry A:
Total mass of paving slabs on lorry A = x * mass of each slab
Total mass of paving slabs on lorry A = 9 * mass of each slab
Next, let's find the mass of each slab:
Total mass of paving slabs on lorry B = (2x - 1) * mass of each slab = 680 kg
(2*9 - 1) * mass of each slab = 680 kg
(18 - 1) * mass of each slab = 680 kg
17 * mass of each slab = 680 kg
mass of each slab = 680 kg / 17 = 40 kg
Now plug this back into the total mass of paving slabs on lorry A:
Total mass of paving slabs on lorry A = 9 * 40 kg = 360 kg
Therefore, the total mass of the paving slabs on lorry A is 360 kg.
can you put that step by step and simpler
Sure! Here's a step-by-step explanation with simplified terms:
1. Let x be the number of paving slabs on lorry A.
2. Number of paving slabs on lorry B = 2x - 1
3. Number of paving slabs on lorry C = 3x + 5
4. Total number of paving slabs = x + (2x - 1) + (3x + 5) = 6x + 4 = 58
5. Solve for x: 6x + 4 = 58, 6x = 54, x = 9
6. Mass of each slab on lorry B = total mass on lorry B / number of slabs = 680 kg / (2(9) - 1) = 40 kg
7. Total mass of paving slabs on lorry A = number of slabs on lorry A * mass of each slab = 9 * 40 kg = 360 kg
Therefore, the total mass of the paving slabs on lorry A is 360 kg.