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

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

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

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* 52`

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

`\text{Annual cost of food}=\$122* 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.

`(780)/(1464)* 100`

`0.532786885* 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.