Lanessa pours a can of mixed fruit into a bowl. There are 17 grapes, 8 cherries, and 23 slices of pineapple. Without looking, sh
2 answers:
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Answer:
a = 1.5
b = 1.75
Step-by-step explanation:
First, we need to solve and replace the result in the initial equation as:
Then, this equality apply only if the coefficient of is equal in both sides and the constant is equal in both sides.
It means that we have two equations:
So, using the first equation and solving for a, we get:
Finally, replacing the value of a in the second equation and solving for b, we get:
Reduce each ratio to its minimum expression to find if they are equal.
35:28
10:8
Since both ratios reduce to 5:4, they are equivalent.
Another way to check a:b is equivalent to c:d, is that a*d = b*c
In this case, this will be true if 35 times 8 is equal to 10 times 28:
Since both products are equal, then the ratios are equivalent.