Question

A unicorn’s favorite food is marshmallows. They can find other food resources, but marshmallows are their absolute favorite. Using the numbers below, how many marshmallows would a unicorn need in one week if this was its only food resource? The marshmallow factory can only make 5,000,000 marshmallows in 1 year. Can 2 unicorns survive on marshmallows along for 1 year? Show me your math!!

Unicorn weights 440 kg

Marshmallow weighs 0.5 grams

Unicorn needs 34 calories/kg of body weight/day

Marshmallow offers 3 calories/gram

Answer 1

Answer:

69813.33 marshmallow

the calories required (i.e 10,920,800 ) is greater than the energy provided (i.e 7,500,000) hence the 2 unicorns cannot survive

Step-by-step explanation:

Given:

Unicorn weights = 440 kg

Marshmallow weighs = 0.5 grams

Unicorn needs = 34 calories/kg of body weight/day

Marshmallow offers = 3 calories/gram

Calories required by Unicorn in a week

= Calories needed × Weight of unicorn × Total days in a week

= 34 × 440 × 7

= 104,720 calories

Now,

Marshmallows required = $\frac{\textup{Calories required}}{\textup{Energy offered by marshmallow}}$

= $\frac{\textup{104,720}}{\textup{3}}$

= 34906.67 grams

Therefore,

the number of marshmallows required = $\frac{\textup{Mass of marshmallow required}}{\textup{Mass of marshmallow}}$

= $\frac{\textup{34906.67}}{\textup{0.5}}$

= 69813.33 marshmallow

b) Total calories provided by the marshmallow

= 5,000,000 × 0.5 × 3

= 7,500,000 calories

and,

calories required by 2 unicorns in an year

= weight of 2 unicorn × calories needed × number of days in an year

= 2 × 440 × 34 × 365

= 10,920,800

Since,

the calories required (i.e 10,920,800 ) is greater than the energy provided (i.e 7,500,000) hence the 2 unicorns cannot survive