Question

Compute the total cost per year of the following pair of expenses. Then complete the​ sentence: On an annual​ basis, the first set of expenses is​ _______% of the second set of expenses. Maria spends ​$1515 on lottery tickets every week and spends ​$122122 per month on food.

Answer 1

Answer:

$\text{Total cost per year}=\ 2244$

On an annual​ basis, the first set of expenses is​ 53.28% of the second set of expenses.

Step-by-step explanation:

We are asked to find the total cost per year of the following pair of expenses.

Maria spends ​$15 on lottery tickets every week and spends ​$122 per month on food.

To find the annual total cost per year, we will multiply weekly cost of lottery by 52 as a year has 52 weeks.

$\text{Annual cost of lottery}=\ 15\times 52$

$\text{Annual cost of lottery}=\ 780$

$\text{Annual cost of food}=\ 122\times 12$

$\text{Annual cost of food}=\ 1464$

$\text{Total cost per year}=\ 1464+\ 780$

$\text{Total cost per year}=\ 2244$

Therefore, the total cost per year of the given pair of expenses is $2244.

Now, we need to find 780 is what percent of 1464.

$\frac{780}{1464}\times 100$

$0.532786885\times 100$

$53.2786885\%\approx 53.28\%$

Therefore, on an annual​ basis, the first set of expenses is​ 53.28% of the second set of expenses.