The amount of change given after a purchase is the amount the customer pays minus the cost of the item.  So the cost of the item is the amount the customer pays minus the amount of change received.

The measure of  is twenty degrees greater than the measure  of , so its measure is 20 added to that of  - that is, .

The measure of  is thirty degrees less than twice that of . Twice the measure of  is , and thirty degrees less than this is 30 subtracted from  - that is, .

The sum of the measures of the three angles of a triangle is 180, so, to solve for  - thereby allowing us to calulate all three angle measures - we add these three expressions and set the sum equal to 180. This yields the equation:

The measure of  is forty degrees less than the measure  of , so its measure is 40 subtracted from that of  - that is, .

The measure of  is ten degrees less than twice that of . Twice the measure of  is , and ten degrees less than this is 10 subtracted from  - that is, .

The sum of the measures of the three angles of a triangle is 180, so, to solve for  - thereby allowing us to calulate all three angle measures - we add these three expressions and set the sum equal to 180. This yields the equation:

Since there are fourteen fewer pounds of Hazelnut Happiness beans in the mixture than Pecan Delight beans , then the number of pounds of Hazelnut Happiness beans is fourteen subtracted from :

.

Add the number of pounds of Pecan Delight beans, , to the number of pounds of Hazelnut Happiness beans, , to get the number of pounds of the mixture, which is .

This translates to the following equation:

Since there are twelve more pounds of Vanilla Dream beans in the mixture than Strawberry Heaven beans, then the number of pounds of Vanilla Dream beans is twelve added to :

 .

Add the number of pounds of Strawberry Heaven beans, , to the number of pounds of Vanilla Dream beans, , to get the number of pounds of the mixture, which is .

This translates to the following equation:

Our number sentence has the phrase "greater than" which means we have an inequality. 

" is greater than" can be written as  because we replace the words "greater than" with the greater than symbol. 

Next, we have " minus ". This can be written as  because minus means subtraction, so we replace the word "minus" with the subtraction symbol. 

When we put these pieces together we have 

Our number sentence has the phrase "greater than" which means we have an inequality. 

" is greater than" can be written as  because we replace the words "greater than" with the greater than symbol. 

Next, we have " minus ". This can be written as  because minus means subtraction, so we replace the word "minus" with the subtraction symbol. 

When we put these pieces together we have 

Our number sentence has the phrase "greater than" which means we have an inequality. 

" is greater than" can be written as  because we replace the words "greater than" with the greater than symbol. 

Next, we have " minus ". This can be written as  because minus means subtraction, so we replace the word "minus" with the subtraction symbol. 

When we put these pieces together we have 

Our number sentence has the phrase "less than" which means we have an inequality. 

" is less than" can be written as  because we replace the words "less than" with the less than symbol. 

Next, we have " minus ". This can be written as  because minus means subtraction, so we replace the word "minus" with the subtraction symbol. 

When we put these pieces together we have 

Our number sentence has the phrase "less than" which means we have an inequality. 

" is less than" can be written as  because we replace the words "less than" with the less than symbol. 

Next, we have " minus ". This can be written as  because minus means subtraction, so we replace the word "minus" with the subtraction symbol. 

When we put these pieces together we have