Joel made egg and tuna sandwiches in the ratio of 2:3. He then made 15 more tuna sandwiches and the ratio changed to 1:3. How many sandwiches did Joel make in all?

Question

2/3=3/t; solving for t=4.5
when calculating to 15 tuna sandwiches, makes 10 egg sandwiches but this is still 2:3.
1:3 of 15 tuna sandwiches makes 5 egg sandwiches for total of 20 sandwiches.
Not clear on what the 2:3 does for this problem.

Answer 1

t = FINAL tuna

e/(t-15) = 2/3
e/t = 1/3
so finally t = 3 e

e/ (3e -15) = 2/3

3 e = 6 e - 30

e = 10
t = 3 t = 30

Answer 2

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