17. in a daycare program, 14% of the children are in the infants and toddler classes. if there are 9 infants…

17. in a daycare program, 14% of the children are in the infants and toddler classes. if there are 9 infants and 12 toddlers, how many total children are in the daycare program? 18. jameson used 42% of the money on a gift card to purchase groceries. if he spent $67.20 on groceries, how much was on the gift card to begin with?

17. in a daycare program, 14% of the children are in the infants and toddler classes. if there are 9 infants and 12 toddlers, how many total children are in the daycare program? 18. jameson used 42% of the money on a gift card to purchase groceries. if he spent $67.20 on groceries, how much was on the gift card to begin with?

Answer

Problem 17

Explanation:

Step1: Calculate the number of infants and toddlers

Number of infants and toddlers = (9 + 12=21)

Step2: Set up an equation using percentage

Let (x) be the total number of children. We know that (14%) of (x) is (21). So, (0.14x = 21)

Step3: Solve for (x)

(x=\frac{21}{0.14}=150)

Answer:

(150)

Problem 18

Explanation:

Step1: Set up an equation using percentage

Let (y) be the initial amount on the gift - card. We know that (42%) of (y) is (67.20). So, (0.42y=67.20)

Step2: Solve for (y)

(y = \frac{67.20}{0.42}=160)

Answer:

(160)