Problem 2 – SHSAT Question Lily spent one-fifth of her salary on a pair of new shoes and then received $90 as a birthday present from her mom. If Lily now has $340, how much money did she begin with?
A. $360
B. $340
C. $312.50
D. $280

$312.5

Step-by-step explanation:

Lily spent one-fifth of her salary on a pair of shoes and then got $90 as a birthday present from her mom and was left with $340. To calculate the amount Lily had at first goes thus:

Since Lily spent 1/5 on shoes, that means she had (1 - 1/5) = 4/5 left.

Let the amount she had at first be y.

(4/5 of y) + 90 = 340

(4/5 × y) + 90 = 340

0.8y + 90 = 340

0.8y = 340 - 90

0.8y = 250

Divide both side by 0.8

0.8y/0.8 = 250/0.8

y= 312.5

She had $312.5 at first.

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.