Question

A veterinarian is changing the diets of two animals, Lady and Bina. Lady currently consumes 1000 calories per day. She will increase her diet by 100 calories each day. Bina currently consumes 3600 calories a day, and her diet will decrease by 200 calories each day. If these patterns continue for both animals, in how many days, d, will Lady consume half of the number of calories that Bina consumes?

a) d = 6
b) d = 8
c) d = 10
d) d = 12

Answer 1

Lady will consume half of the calories that Bina consumes in 8 days.Therefore, Lady will consume half of the calories that Bina consumes in 8 days. The answer is b) d = 8.

Step-by-step explanation:

To find the number of days it will take for Lady to consume half of the calories Bina consumes, we need to set up an equation. Let's assume d is the number of days.

Lady's calorie intake on day d can be represented by the equation: 1000 + 100*d.

Bina's calorie intake on day d can be represented by the equation: 3600 - 200*d.

We want to find the value of d when Lady's calorie intake is half of Bina's calorie intake, so we set up the equation: 1000 + 100*d = (3600 - 200*d)/2.

Solving this equation gives us d = 8.

Therefore, Lady will consume half of the calories that Bina consumes in 8 days. The answer is b) d = 8.