Answer:
8 boxes of tissues
5 bags of cough drops
Step-by-step explanation:
You need to write a system of equations.
x = number of tissue boxes
y = number of cough drop bags
x (number of tissue boxes) + y (number of cough drop bags) = 13 (total number of tissues and cough drops combined.
So, your first equation is
x + y = 13
Then, you need to write the second equation.
(1.69 [cost of 1 tissue box] * [number of tissue boxes]) + (1.19 [cost of one bag of cough drops] * [number of cough drop bags] = 19.47 [total cost of tissues and cough drops]
That's a lot to read, so here's the equation simplified!
1.69x + 1.19y = 19.47
Now, you have two equations:
x + y = 13
1.69x + 1.19y = 19.47
I would solve with the substitution method.
the first equation can be changed to x = 13 - y by subtracting y from both sides.
Then, your two equations are:
x = 13 - y
1.69x + 1.19y = 19.47
Now, you can plug in that value of x into the second equation!
1.69(13 - y) + 1.19y = 19.47
21.97 - 1.69y + 1.19y = 19.47
subtract 21.97 from both sides
-1.69y + 1.19y = -2.5
Add the y values
-0.5y = -2.5
divide both sides by -0.5
so, y equals 5 bags of cough drops
now that you know what y equals, plug it back into your original equation to find x!
x + y = 13
plug in y
x + 5 = 13
x = 8
so, x = 8 boxes of tissues
Hope this helps! Let me know if you have any questions!
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