You received a $100 gift certificate to a clothing store. The store sells T-shirts for $15 and dress shirts for $22. You want to

Question

2 years ago

9

You received a $100 gift certificate to a clothing store. The store sells T-shirts for $15 and dress shirts for $22. You want to

spend no more than the amount of the gift certificate. You want to spend at least $90. You need at least one dress shirt. What are all the possible combinations of T-shirts and dress shirts you could buy?

Mathematics

1 answer:

Andreas93 [3] · Answer 1 · 2022-11-11T08:24:17+03:00

Answer:

0 T, 4 D

1 T, 3 D

2T, 3D

3T, 2D

4T, 1D

5T, 1D

Step-by-step explanation:

So let's start with what we know!

Gift certificate = $100

T-shirts = $15 each

Dress shirts = $22 each

You need to buy at least one dress shirt in the process and at least spend $90

You can simply find the combinations by going in desmos and writing in:

15x + 22y <= 100

y > 1

15x + 22y >= 90

Find the combinations by looking at the integer values of x, and using only the integer values of y ( do not round them, just cut them down to the integer). Look where all the regions are shaded

The possible combinations are as follows

Note: I am going to initial t-shirts to T and dress shirts to D