Answer:
19 phones and 26 accessories
Step-by-step explanation:
What we need here is to work with a two-equation system, where one equation corresponds to income and the other to the amounts sold.
First, lets think on the amounts. She sold a p amount of phones and an a amount of accessories, such that in total she sold 45 items. So:
a + p = 45 [equation 1]
Then, she made a total money of $344, for selling this 45 items. With prices of $3 for accessories and $14 for phones. The equation is:
3a + 14 p = 344 [equation 2]
If we take equation 1 en get the value of a, by subtracting p en both sides:
a + p - p = 45 - p
a = 45 - p [equation 1']
If we pick this last equation and replace in equation 2 we have:
3a + 14 p = 344
3 (45-p) + 14p = 344
135 - 3p + 14p = 344
135 + 11 p = 344
Subtracting 135 in both sides:
135 -135 + 11p = 344 - 135
11p = 209
Dividing by 11 in both sides:
11p/11 = 209/11
p = 19
So, Scarlett sold 19 phones. If we replace it in equation 1:
a + 19 = 45
Subtracting 19 in both sides:
a = 26
She also sold 26 accessories.
