Answer:
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Answer: the cost of one package of macadamia nut chip cookie dough is $1.5
the cost of one package of triple chocolate cookie dough is $2.5
Step-by-step explanation:
Let x represent the cost of one package of macadamia nut chip cookie dough.
Let y represent the cost of one package of triple chocolate cookie dough.
Mrs. Julien’s class sold 25 packages of macadamia nut chip cookie dough and 30 packages of triple chocolate cookie dough for a total of $112.50. This means that
25x + 30y = 112.5 - - - - - - - - - - - - -1
Mrs. Castillejo’s class sold 8 packages of macadamia nut chip cookie dough and 45 packages of triple chocolate cookie dough for a total of $124.50. This means that
8x + 45y = 124.5 - - - - - - - - - - -2
Multiplying equation 1 by 8 and equation 2 by 25, it becomes
200x + 240y = 900
200x + 1125 = 3112.5
Subtracting, it becomes
- 885y = - 2212.5
y = - 2212.5/- 885
y = 2.5
Substituting y = 2.5 into equation 1, it becomes
25x + 30 × 2.5 = 112.5
25x + 75 = 112.5
25x = 112.5 - 75 = 37.5
x = 37.5/25 = 1.5
The method used is the elimination method. It is more convenient to use.
Answer:
x < 3
Step-by-step explanation:
−4x−8>−20
Add 8 to each side
−4x−8+8>−20+8
-4x> -12
Divide each side by -4, remembering to flip the inequality
-4x/-4 < -12/-4
x < 3
This actually is a math problem! The answer is no more than 50% of your total income. For example, if your income is $834.26 a week, you're bringing home $3370.04. You would not want your expenses to exceed $1660.75. Therefore, the answer to your question is $1405.12.
