A group of friends are at a baseball game and are purchasing souvenirs. Olivia purchased 1 t-shirt and 5 baseball caps, spending a total of $165. Her Marco purchased 1 t-shirt and 4 baseball caps, which cost him a total of $137. Assuming that all of the t-shirts and all of the caps are the same price, what is the price of each?

baseball cap = $28

t-shirt =  $25

Step-by-step explanation:

Olivia: t +5b = 165

Marco: t + 4b = 137

isolate t in Olivia's equation

t = 165 - 5b

plug t into Marco's equation

165 - 5b + 4b = 137

165 - b = 137

b = 28

plug b into either equation

t + 4b = 137

t + 4(28) = 137

t + 112 = 137

t = 25

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1