Question

Terrence is selling tulip bulbs for $0.35 per bulb and daffodil bulbs for $0.64 per bulb. He makes a 40% profit on the sales of tulip bulbs and a 45% profit on the sales of daffodil bulbs. He is trying to determine the number of tulip bulbs, x, and the number of daffodil bulbs, y, he will need to sell m a week to earn a profit of $1,200 for the week. Which of the following equations can Terrence use to make this determination?

a) 0.35x +0.64y=1200(0.40+0.45)
b) (0.40+0.45)(0.35x+0.64y)=1200
c) (0.40)(0.35)x + (0.45)(0.64)y = 1200
d) (0.35+0.64)(x+y) = 1200(0.40+0.45)

Answer 1

c) (0.40)(0.35)x + (0.45)(0.64)y = 1200

Explanation:

Profit on each tulip bulb is:

• $0.35 + 40% = $0.35*0.40

Profit on x amount of tulip bulbs:

• (0.35)*(0.40)x

Similarly, profit on y amount of daffodil bulbs is:

• (0.45)(0.64)y

Since the target is $1200, the required equation is:

• (0.40)(0.35)x + (0.45)(0.64)y = 1200

Correct answer option is C)