Answer:
(2) If 300 lunches were sold, then 120 chose tacos.
Step-by-step explanation:
We can evaluate each option and see if it makes it true.
For 1: If 200 lunches were served, 10 more students chose pizza over hotdogs.
We can find how many pizzas/hotdogs were given if 200 lunches were served by relating it to 100.
20% chose hotdog, which is
. Multiply both the numerator and denominator by two:
- so 40 students chose hotdogs.
Same logic for pizza: 30% chose pizza -
so 60.
60 - 40 = 20, not 10, so 1 doesn't work.
2: If 300 lunches were sold, then 120 chose tacos.
Let's set up a proportion again. 40% of 100 is 40.
![\frac{40}{100} = \frac{40\cdot3}{300} = \frac{120}{300}](https://tex.z-dn.net/?f=%5Cfrac%7B40%7D%7B100%7D%20%3D%20%5Cfrac%7B40%5Ccdot3%7D%7B300%7D%20%3D%20%5Cfrac%7B120%7D%7B300%7D)
So 120 tacos were chosen - yes this works!
Hope this helped!