Question

Karachi earns $5 for each umbrella that he
sells and $3.50 for each rain poncho that he
sells. He earned $190 last week selling
ponchos and umbrellas.

Write an equation to represent the number
of umbrellas (u) and ponchos (p) he sold last
week.

Answer 1

The equation to represent the number  of umbrellas (u) and ponchos (p) he sold last  week is 5u + 3.5p = 190

Solution:

Given that Karachi earns $5 for each umbrella that he  sells and $3.50 for each rain poncho that he  sells

Thus we can say,

Amount earned from 1 umbrella  = $ 5

Amount earned from 1 rain poncho  = $ 3.50

To find: equation to represent the number  of umbrellas (u) and ponchos (p) he sold last  week.

Let "u" be the number of umbrellas sold

Let "p" be the number of ponchos sold

He earned $190 last week selling  ponchos and umbrellas

Thus we can frame a equation as,

number of umbrellas sold x Amount earned from 1 umbrella + number of ponchos sold x Amount earned from 1 rain poncho = $ 190

$u \times 5 + p \times 3.50 = 190\\\\5u + 3.5p = 190$

Thus the equation to represent the number  of umbrellas (u) and ponchos (p) he sold last  week is found