Because all the numbers are expressed in terms of the smallest number, let that number be represented by x. Therefore, the largest number can be expressed as 4x-6, and the middle number can be expressed as 2x+3. Plug those numbers into the addition equation and solve for x. Then plug the value for x into the expression representing the largest number.

2(4x-6) + (3+3(2x+3)) + 4(x) = 90 --> 18x = 90 --> x = 5

4(6)-6 = 14

The minimum number of whole pizzas needed is 15(2/3) = 10.

For ratio problems, we want to sum the total numbers in the ratio to create a fraction.  equal portions.  Therefore, the fraction of the cake that Tim eats is simply  This, we need to multiply by the total number of pieces in the cake to find how many pieces he ate:  

In order to solve this question, set up a ratio between the height of the building and the shadow it casts.

Substitute the known values.

Cross multiply and solve for the variable.

First, let's set up a proportion. We know that the ratio of  to  is 7 to 5. We also know that  is 35; therefore, our proportion will look like the following:

Let's cross multiply to arrive at the following expression: 

The length of   is equal to 25.

Friday:   apples sold

Saturday:  This means that  of her stock is remaining at this point. 

of her stock of apples was sold on Saturday.

By the end of Saturday,  of her stock has been sold .  If  of her stock has been sold,  remains to be sold on Sunday.

To find your answer, we would use substitution within a system of equations.  If (A+B) +C = 56, we can replace (A+B )= 24 to get (24) + C = 56, Thus making C = 32.  Then we can replace C with 32 in the equation      B+C = 40, thus making B + (32) = 40 to get an answer of 8.

To know the minumum number of baskets required for each size, simply divide the number of fruits required by the basket capacity for each fruit:

 (we must round up to nearest whole number for practical purposes)

Since we need to bring both the large and small fruits to the event, we need to add these two values:  baskets total. 

When working with fractions or percents, it is often really helpful to write out an equation showing what you need to find. In this case, we know that three-fifths of Felicia's weekly pay (our variable—let's call it ) over six weeks results in , so our equation looks like this:

So, we want to simplify and rearrange this equation. Start by multiplying the  with the :

Then, multiply both sides by , the reciprocal of :

So, , and we now know Felicia's weekly pay!

To answer this question, we need to set up a proportion for how many pounds of apples it takes to make a certain number of containers, knowing that 45 pounds of apples makes 30 containers of apple juice. We want to figure out how many pounds of apples it would take to make 20 containers of apple juice.

To set up a proportion, we must put the amounts that correspond to each other in the same fraction and equate it to a similar fraction. In this case, we will set up fractions that show containers of apple juice over pounds of apples. So for this data:

Note that we put both of the values for containers of apple juice in the numerator of the fractions and pounds of apples in the denominator. Here,  is the value we are looking for.

We then cross-multiply by taking the denominator of each fraction and multiplying each side of the equation by it so that we can create an equation that is solved easier.

Therefore, it takes  pounds of apples to make  containers of apple juice.