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You also know that she makes an hour babysitting, and you already stated that the number of hours she babysits each week is y.So, the expression describing how much she makes each week babysitting is 15y. So, your second equation tells you how to calculate the amount of money she earns weekly: 30x 15y=120 You can simplify this equation by dividing each term by 15: 2x y=8 So, you now have your two equations and can solve: x y=5 2x y=8 Isolate the x variable in the first equation: x y=5 x=5-y Now, substitute this expression ofx into the second equation and solve for y: 2x y=8 2(5-y) y=8 10-2y y=8 10-y=8 -y=-2 y=2 So, she babysits for 2 hours each week. So, the amount of money she makes from necklaces is given by the expression It might help to make a table to help you organize all of the information in this problem.
This article was co-authored by our trained team of editors and researchers who validated it for accuracy and comprehensiveness. Deborah has $88.50, and Colin has $61.50, which together add up to $150.
Together, they cited information from 10 references.
Since the question asks for the amount of flour left in grams, you should convert the total mass of the bag of flour to grams. A This seems like a system of equations because there are multiple unknown amounts, and you COULD solve it that way, but you would need three equations so it would get a little complicated. Since the number of rings and necklaces Iris sells is given in terms relative to the number of bracelets she sells, you really only have one unknown variable: the number of bracelets Iris sells. Since the number of each type of jewelry sold is given in relative terms, once you know the number of bracelets sold, you can find the number of rings and necklaces sold. She loves reading, theater, and chasing around her two kids.
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The answer key at the end of the post has detailed explanations to help you see the relationship between words and math in these types of questions. The sum of three consecutive positive integers is 111. Which equation shows how you could solve the problem? The term “consecutive positive integers” essentially means three whole numbers in a row, such as 1, 2, and 3. Since the numbers are consecutive, the second number in the series will be 1 more than x, and the third number in the series will be 2 more than x, so the three consecutive integers are x, x 1, and x 2.
The sum of these three terms needs to be 111, so your equation will be: (x) (x 1) (x 2)=111 You can simplify the expression by combining like terms—in this example, adding the variables and then adding the constants.Some algebra problems on the GED Mathematical Reasoning test are straightforward: Solve a given equation for x.Once you know the basic rules for solving, these are pretty simple.The problem is asking for both the numbers, so we can make “\(n\)” the smaller number, and “\(18-n\)” the larger.\(\begin2n-3\,\,\,=\,\,18-n\\underline\3n\,-3\,\,=\,\,\,18\\underline\\,\,3n\,\,\,\,\,\,\,\,\,\,=\,\,\,21\\,\frac\,\,\,\,\,\,\,\,\,\,\,=\,\,\frac\\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,n=7\,\,\,\,\,\,\text\\,\,\,18-7=11\,\,\,\,\text\end\) Solution: We always have to define a variable, and we can look at what they are asking.Now, you can use this information to solve for x using the first equation: x y=5 x 2=5 x=3 So, she tutors for 3 hours each week. C Your first step is to find out how many grams of flour Oliver uses. Fill out the table as you parse each piece of information in the problem.He uses 340 grams per batch of biscuits, and he makes three batches. So, the amount of money she makes from rings is given by the expression 10(2x). You know that in total she made 5 at the craft fair.Note that Using Systems to Solve Algebra Word Problems can be found here in the Systems of Linear Equations and Word Problems section.Now that you can do these difficult algebra problems, you can trick your friends by doing some fancy word problems; these are a lot of fun.wiki How's Content Management Team carefully monitors the work from our editorial staff to ensure that each article meets our high quality standards. You can solve many real world problems with the help of math. In order to familiarize students with these kinds of problems, teachers include word problems in their math curriculum.