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2- Jack and Jill went out to dinner. Jack ordered a slice of pizza for $4.99 and a drink for $1.89.

Jill ordered a salad for $5.49 and a drink for $1.89. They each had a 15% coupon for their meal.
How much did Jill pay for her meal?
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3- A video game costs a retailer $24. The store marks it up 35%, what is the markup amount?
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User Off
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1 Answer

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Answer:y = 10.5

Explanation:

First, assign a variable to each unknown value.

Let:

x = cost of the pepperoni pizza

y = cost of the plain pizza

Next, set up equations based on the word problem. We then have the following equations:

(1) 3x + 2y = 58.50

(2) 2x + 4y = 67

Equation (1) comes from the statement: "Jack paid 58.50 for 3 pepperonies and 2 plain pizzas". Equation (2), on the other hand, translates the statement: "Jill paid 67 for 2 pepperonies and 4 plain pizzas".

To solve for two unknown variables given two independent equations, eliminate one variable first. That is, multiply equation (1) to -2.

-2[3x + 2y = 58.50]

-6x -4y = -117

Then add this to equation (2):

-6x -4y = -117

2x + 4y = 67

-------------------

-4x = -50

x = -50/-4 = 12.5

To solve for y, we use equation (2) and substitute the value of x which has been solved already.

2(12.5) + 4y = 67

y = 10.5

To summarize, they paid $12.50 for the pepperoni pizza while they paid $10.50 for the plain pizza.

User Zonabi
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