# TEAS 6 MOMETRIX

mandy can buy 4 container of yogurt and 3 boxes of crackers for \$9.55. she can buy 2 containers of yogurt and 2 boxes of crackers for \$5.90. How much does one box of crackers cost?

Equations 4x + 3y = \$9.55
2x + 2y = \$5.90

Can anyone just help me with how to set the problem up, I can't figure out how to use the information given. Thanks

1. 👍 1
2. 👎 1
3. 👁 4,477
1. 4 x + 3 y = 9.55 now multiply your second equation by 2
4 x + 4 y = 11.80

subtract the first equation from the second
0 x + 1 y = 11.80-9.55 = 2.25
the end

1. 👍 2
2. 👎 0
2. alternative to that which is called "elimination" is "substitution"
from the second equation
x + y = 5.90/2 = 2.95
so you can say
x = 2.95-y

now use that in the first equation
4(2.95-y) + 3 y = 9.55

11.80 - 4y + 3 y = 9.55
y = 11.80 -9.55 = 2.25 again

1. 👍 1
2. 👎 0
3. Thank you Damon

1. 👍 0
2. 👎 0
4. Why am I multiplying the second equation by 2?

1. 👍 7
2. 👎 0
5. Because there are two equations, perhaps?

1. 👍 0
2. 👎 0
6. don't understand where the 4x +4y = 11.80 come from with this ?

1. 👍 2
2. 👎 0
7. The 4x + 4y=11.80 comes from multiplying all the numbers by 2. But I did have the same question on why am I multiplying the second equation by 2 and my assumption is to cancel out x because we are only looking for the price of the crackers

1. 👍 1
2. 👎 0
8. The 4x + 4y=11.80 comes from multiplying all the numbers by 2. But I did have the same question on why am I multiplying the second equation by -2 and my assumption is to cancel out x because we are only looking for the price of the crackers

1. 👍 0
2. 👎 0
9. Hey Sunday,
A quick and simple trick i learned when i was still in grade school was.
4 yogurts and 3 boxes of crackers equals 9.55 dollars
2 yogurts and 2 boxes of crackers equals 5.90 dollars
you want to look at the difference between the yogurts since you need the individual price of one box of crackers. the first bit of information given is 4 yogurts and 3 boxes of crackers equals 9.55 dollars. in this information you notice that you have 2 more yogurts than the second bit of information 2 yogurts and 2 boxes of crackers equals 5.90 dollars. since the yogurts were divided by 2 you want to multiply the final price of the second line of information by 2.
5.90*2= 11.8
now subtract 11.8 from 9.55 and you get your answer of 2.25.

1. 👍 6
2. 👎 0
10. 4x + 3y = 9.55
2x + 2y = 5.90
-2(2x + 2y) = -2(5.90)
*what you do to one side do to the other
-4x -4y = -11.80
4x + 3y = 9.55 (x’s cancel)
– y = -2.25
-y (-1)
Y = 2.25

1. 👍 0
2. 👎 0
11. I get it, first you want to set up the problem 4x + 3y = \$9.55 then 2x = 2y multiply by 2 x \$5.90 = 11.80 then subtract \$9.55 from \$11.80 = 2.25 this is the way I understand this math problem very helpful thank you.

1. 👍 0
2. 👎 0

## Similar Questions

1. ### math

You're planning on making 4 meatloafs for a party. You go to the store to buy breadcrumbs, and see they are sold by the canister. How many canisters do you need to buy? •How much breadcrumbs does the recipe call for? It calls

2. ### Algebra

There are 8 crackers in 1 serving. 16 crackers in 2 servings, 24 crackers in 3 servings, and so on. How many crackers are in a box of 12 servings, My answer is 8:1 ratio 1 serving = 8 crackers 12 servings at 8:1` ratio - 96

3. ### chemistry

how many grams of sodium are used to prepare 50 boxes of crackers? sodium per serving is 140mg, serving size is .50 oz for 6 crakers. i got 112g and the answer is suppose to be 110g and i cant figure out how to get 110 thank you

4. ### math

Please help, my mom and I are having a difference of opinion. The question is crackers come in packages of 24. Cheese slices come in packages of 18. You want one cheese slice for each cracker. What is the least number of crackers

1. ### Algebra

1.Is (0,3) a solution to the equation y=x+3? A.yes*** B.No 2.Is (1,-4) a solution to the equation y=-2x? A.yes B.No*** 3.Look at the following points (4,0),(3-1),(6,3)(2,-4) Which are solutions to y=x-4?chose all correct answers

2. ### Math

Carol has 1 5/8 cups of yogurt to make smoothies each smoothie uses 1/3 cups of yogurt. What is the maximum Number of smoothies that Carol can make with the yogurt

3. ### Math - for Reiny

Mandy finds she can get a discount on corn cobs if she buys in bulk. She can get 100 kilograms of corn cobs for \$160 from Matt, on condition that she buys at least 100 kilograms. From another supplier, Robert, she can buy small

4. ### math

A cereal company finds that the number of people who will buy one of its products in the first month that it is introduced is linearly related to the amount of money it spends on advertising. If it spends \$40,000 on advertising

1. Write a function rule for finding the amount of daily pay, p, in the following situation: A bus driver gets paid \$100 each day plus \$0.20 per kilometer, k. (1 point) 100 = 0.20 × k p = 0.20 × 100 × k p = 0.20k + 100 0.20k =

2. ### algebra

each week, mandy's algebra teacher gives a 10 point math quiz. after 5 weeks, mandy has earned a total of 36 points for an average of 7.2 points per quiz. she would like to raise her average to 9 points. on how many quizzes must

3. ### chemistry

Chemistry problem: given: serving size 0.5 oz, 4g fat/ serving, 140 mg sodium/serving. a) box has net weight of 8oz how many crackers per box? i got 96. b) if you ate 10 crackers how many ounces of fat are you consuming? i got

4. ### singapore moth

Place the following digits in the boxes so that the sum of the digits in each straight line is the same. This is like a crossword 3 boxes across and 3 boxes down then 3 boxes across and 3 boxes down using digits 1,2,3,4,5,6,7,8,9.