Alicia is making cupcakes for a party she is having and wants to make sure everyone gets at least 1 cupcake

the recipe calls for 1/2 teaspoon of salt for every batch and each batch makes 21 cupcakes if the part will have a total of 84 people attending how many teaspoon of salt will alicia need.

Let's imagine that x is the number of teaspoon of salt needed to make at least 84 cupcakes.

So we know that, 1 batch makes 21 cupcakes, and we need at least 84 cupcakes, so the number of cupcakes batch needed here should be:

84 ÷ 21 = 4 (batches)

Since we knew the number of batches that we need to make the cupcakes, we now calculate the amount of sugar needed. We have:

1/2 teaspoon of salt for every 1 batch.

x teaspoon of salt for every 4 batches.

x = (4 . 1/2) . 1 = 2 (teaspoons)

third choice down

step-by-step explanation:

the first inequality is based on the number of adults and campers, and the second inequality is based on the cost of feeding both the adult and the camper.

we know that there is room for 525 people max.   it's ok to have less than 525, but it's not ok to have more than 525, so the inequality is less than or equal to.   the number combination of adults (x) and campers (y) cannot exceed this 525 max.   therefore:

x + y ≤ 525

now we talk about cost.   it costs $9 to feed one adult, so depending upon the number of adults you have (x) depends upon how much it will cost to feed that number of adults.   same with the campers, who cost $5 to feed.   the adults can be represented by 9x and the campers can be represented by 5y.   since the budget cannot exceed 1,200, the second inequality is:

9x + 5y ≤ 1200