Question

Marilyn has a collection of stickers and keychains. she has 541 collectables in all. The number of stickers is twice the number of keychains. Find the number of each type of collectable that she has. Please Help​

Answer 1

Marilyn has 361 stickers and 180 keychains

Explanation:

Let S and K be the numbers of stickers and keychains, respectively.

We are told that: S + K = 541

We also learn that: S = 2K

We have 2 equations and two unknowns. We should be able to find the answer by substitution.

1) Take the first equation and subsitiute the definition of S as seen in the second equation. With that step we eliminate one of the variables entirely (S):

S + K = 541

(2K) + K = 541

3K = 541

K = 180.333

K must be a whole number, so round to the nearesr non-decimal value. That would be K = 180.

From S=2K, we can conclude that S would be 2*180.333 or S = 360.67

Round to the nearest whole number: S=361

Check: S+K=541?

(361 + 180) = 541 YES

Is S=2K?

S = 2*(180.33) = 361 YES