A baker makes 130 loaves so that there are6 times as many white loaves as granary loaveshalf as many brown loaves as white loaves.How many of each type does he make?
Question
A baker makes 130 loaves so that there are6 times as many white loaves as granary loaveshalf as many brown loaves as white loaves.How many of each type does he make?
Solution
Let's denote:
- The number of granary loaves as G
- The number of white loaves as W
- The number of brown loaves as B
From the problem, we know that:
- W = 6G (since there are 6 times as many white loaves as granary loaves)
- B = 0.5W (since there are half as many brown loaves as white loaves)
We also know that the total number of loaves is 130, so:
G + W + B = 130
Substituting the first two equations into the third equation, we get:
G + 6G + 0.5*6G = 130 13G = 130 G = 130 / 13 G = 10
Substituting G = 10 into the first two equations, we get:
W = 610 = 60 B = 0.560 = 30
So, the baker makes 10 granary loaves, 60 white loaves, and 30 brown loaves.
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