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Julli [10]
3 years ago
15

Ms. Wendie puts 4 chocolate candies in a bag to give each of her students on the first day of class. She puts a total of 76 choc

olate candies in bags. Write an equation to model this situation. A) 4x = 76 Eliminate B) 4 + x = 76 C) x - 4 = 76 D) x ÷ 4 = 76
Mathematics
1 answer:
Alchen [17]3 years ago
8 0
This scenario is all about creating equal groups of 4 candies.  Because we know the total number of candies that were used, the 4 is a part and we are missing the other part(groups).  We can think of it as how many groups of 4 will result in 76.  This is shown in Choice A.
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Zina goes shopping. She buys in the same store two scarves and three T-shirts for
Umnica [9.8K]

Answer:

The price of T-shirts before the sale = 42 euros

The price of scarves before the sale = -77/2 euros

Step-by-step explanation:

The cost of the items Zina buys from the store initially are;

Two scarves and three T-shirts for 49 euros

The reduction in the price of scarves a week later during sales = 1.5 euros

The reduction in the price of T-shirts a week later during sales = 2 euros

The items Zina bought for 40 euros at the reduced price of the sales opportunity are;

Four scarves and five T-shirts for 40 euros

Let 'x' represent the initial price of a scarf and let 'y' represent the initial price of a T-shirt, we  have;

2·x + 3·y = 49...(1)

4·(x - 1.5) + 5·(y - 2) = 40...(2)

Expanding equation (2) gives;

4·x - 6 + 5·y - 10 = 40

4·x + 5·y = 40 + 6 + 10 = 56

∴ 4·x + 5·y = 56...(3)

By multiplying equation (1) by 2 and subtracting the result from equation (3), we get;

4·x + 5·y - 2 × (2·x + 3·y) = 56 - 2 × 49 = -63

-y = -42

y = 42

The price of T-shirts before the sale = 42 euros

x = (49 - 3 × 42)/2 = -77/2

x = -77/2

The price of scarves before the sale = -77/2 euros

(However, if the had bought the 4 scarves and 5 T-shirts during sales at 70 euros, we get;

The price of T-shirts before the sale = 12 euros

The price of scarves before the sale = 6.5 euros.

The allowable total price for the reduced 4 scarves and 5 T-shirts is between 66 and about 82 for both initial prices to be +ve)

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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Solve the proportion.
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Answer:

r = 9

Step-by-step explanation:

cross multiply

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