Answer:
a = 3.2
Step-by-step explanation:
*not sure if 2*1/7=2/7 or 2 (1/7) = 14/2 + 1/7 = 15/7. I will assume it is the former though.
2 (1/7) : (1.5a) = 15/7 : 1.5a
need to make the left side of the ration of both sides of the ratio the same.
left: 15/7 : (1.5a)
right: 5/14 : 0.8
First, make the denominator of the left side the same as the right:
left: 30/14 : (1.5a)
right: 5/14 : 0.8
Second, times the right ratio by 6, this will make it so that the left and right left ratio are the same:
left: 30/14 : (1.5a)
right: 6*(5/14) : 6*(0.8)
-------------------------------------
left: 30/14 : (1.5a)
right: 30/14 : 4.8
Now that the left ratio on the left and right are the same, we know that 1.5a will equal 4.8:
1.5a = 4.8
a = 4.8/1.5
a = 3.2
We can double-check by subbing in one a into the original equation and dividing the left ratio by the right:
left: 15/7 : (1.5*3.2)
right: 5/14 : 0.8
---------------------------------
left: 15/7 : 24/
right: 5/14 : 0.8
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left: (15/7) / (15/32) = 25/56
right: (5/14) / (0.8) = 25/56
Since the left side is equal to the right side, the value of a we got is correct.
