Question
7 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.
Answer
4.6
(119 Votes)
Zachariah
Elite · Tutor for 8 years
Answer
The calculation will be made as per the steps explained.
Explanation
Beginning with the number of slabs, we need to solve the equation
to find the value of
, since the total number of slabs on all three lorries is 58.After finding the number of slabs on lorry B, which is
, we can determine that the mass of one slab is
kilograms, since we know the total mass of the slabs on lorry B.Finally, with the mass of a single slab determined, we can find the total mass of the slabs on lorry A, which would be \(x × \ (\frac{680}{2x-1})\).