Dashawn started to monitor how many calories he consumed during breakfast and lunch. 55% of his calories came from his breakfast. He consumed 718 calories during lunch How many total calories did he consume from both meals? Round your answer to the nearest tenth.

Respuesta :

Answer:

The total calories consumed from both meals = 1595.6 calories

Step-by-step explanation:

Given:

Dashawn had 55% of his calories from his breakfast.

He consumed 718 calories during lunch

To find the total calories he consumed from lunch and breakfast.

Solution:

Dashawn is monitoring his calories for breakfast and lunch only.

So, if he consumes 55% calories during breakfast, then percentage of calories  he consumes during lunch = [tex]100-55=45\%[/tex]

Let total calories he consumes from both meals be = [tex]x[/tex]

Thus, calories he consumes during lunch can be given as :

⇒ [tex]45\%\ of\ x[/tex]

⇒ [tex]\frac{45}{100} \times x[/tex]

⇒ [tex]0.45 \times x[/tex]

⇒ [tex]0.45x[/tex]

We know that calories taken during lunch = 718.

So, we have,

[tex]0.45x=718[/tex]

Solving for [tex]x[/tex]

Dividing bot sides by 0.45

[tex]\frac{0.45x}{0.45}=\frac{718}{0.45}[/tex]

[tex]x=1595.55\approx 1595.6[/tex]

Thus, the total calories consumed from both meals = 1595.6 calories