in an album, the ratio of the number of local stamps to the number of foreign stamps was 7 : 4. When Lucy gave away 8 local stamps and 8 foreign stamps, there were 1.8 as many local stamps as foreign stamps in the album. find the total number of stamps Lucy had in the end.

Question

in an album, the ratio of the number of local stamps to the number of foreign stamps was 7 : 4. When Lucy gave away 8 local stamps and 8 foreign stamps, there were 1.8 as many local stamps as foreign stamps in the album. find the total number of stamps Lucy had in the end.

Answer 1

local/foreign = 7/4

(local-8)/(foreign-8) = 9/5

local = 224
foreign = 128

now find your answer.

Answer 2

Can someone please teach me how to get to the correct solution.

I've been on this question for sometime already, still I haven't figure it out.

Answer 3

To solve this problem, we can set up a system of equations based on the given information and then solve for the unknowns.

Let's assume that the number of local stamps in the album is represented by "L" and the number of foreign stamps is represented by "F".

From the first statement, we know that the ratio of the number of local stamps to the number of foreign stamps in the album is 7:4. So we can write the equation:
L/F = 7/4

From the second statement, we know that when Lucy gave away 8 local stamps and 8 foreign stamps, there were 1.8 times as many local stamps as foreign stamps in the album. So we can write the equation:
(L-8)/(F-8) = 1.8

Now, we can solve this system of equations simultaneously to find the values of L and F.

First, let's rearrange the first equation:
L = (7/4)F

Substituting this into the second equation, we get:
((7/4)F - 8)/(F-8) = 1.8

Cross-multiplying and simplifying the equation:
7F - 32 = 1.8F - 14.4

Combine like terms:
7F - 1.8F = 32 - 14.4
5.2F = 17.6

Divide both sides by 5.2 to isolate F:
F = 17.6 / 5.2
F ≈ 3.38

Since we cannot have a fraction of a stamp, we round F to the nearest whole number:
F = 3

Now, we can substitute the value of F back into the first equation to find L:
L = (7/4) * 3
L = 5.25

Again, we round L to the nearest whole number:
L = 5

Finally, to find the total number of stamps Lucy had in the end, we add the number of local stamps (L) and foreign stamps (F) together:
Total number of stamps = L + F
Total number of stamps = 5 + 3
Total number of stamps = 8

Therefore, Lucy had a total of 8 stamps in the end.