Question

Wyatt offers 8 types of sandwiches and 4 types of tacos. He will increase his selection of sandwiches by 1 per month. He will increase his selection of tacos by 2 per month. In how many months will Wyatt offer an equal number of sandwiches and tacos?

Answer 1

Answer:

In 4 months Wyatt offer an equal number of sandwiches and tacos.

Step-by-step explanation:

We are given the following in the question:

Types of sandwiches = 8

Rate of increase of sandwich = 1 per month

Thus, number of sandwiches in x months will be given by

$n_1(x) = 8 + x$

Types of tacos = 4

Rate of increase of tacos sandwich = 2 per month

Thus, number of tacos in x months will be given by

$n_2(x) = 4 + 2x$

Equating the two equations, we get,

$n_1(x) = n_2(x)\\8 + x = 4 + 2x\\\Rightarrow x = 4$

Thus, in 4 months Wyatt offer an equal number of sandwiches and tacos.