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abruzzese [7]
3 years ago
7

The baseball team needs new equipment. Company A can provide 9 helmets, 6 bats, and 12 balls for $525. Company B can provide 10

helmets, 8 bats, and 10 balls for $600. Company C can provide 8 helmets, 5 bats, and 15 balls for $500. Which system of equations matches the equipment choices available for purchase? 9x + 6y + 12z = 525 10x + 8y + 10z = 600 8x + 5y + 15z = 500 9x + 12y + 6z = 525 10x + 8y + 10z = 600 8x + 5y + 15z = 500 9x + 6y + 12z = 525 10x + 10y + 8z = 600 8x + 5y + 15z = 500 9x + 6y + 12z = 525 10x + 8y + 10z = 600 8x + 15y + 5z = 500
Mathematics
2 answers:
salantis [7]3 years ago
8 0

Answer:

The correct option is A.

Step-by-step explanation:

Let the price of a helmet is x, the price of a bat is y and the price of a ball is z.

It is given that Company A can provide 9 helmets, 6 bats, and 12 balls for $525. The equation for Company A is

9x+6y+12x=525

It is given that Company B can provide 10 helmets, 8 bats, and 10 balls for $600. The equation for Company B is

10x+8y+10x=600

It is given that Company C can provide 8 helmets, 5 bats, and 15 balls for $500. The equation for Company C is

8x+5y+15x=500

The system of equations is

9x+6y+12x=525

10x+8y+10x=600

8x+5y+15x=500

Therefore the correct option is A.

Olin [163]3 years ago
6 0

Answer:

Choice A.

Step-by-step explanation:

Let x = price of a helmet, y = price of a bat, z = price of a ball.

Company A can provide 9 helmets, 6 bats, and 12 balls for $525.

9x + 6y + 12z = 525

Company B can provide 10 helmets, 8 bats, and 10 balls for $600.

10x + 8y + 10z = 600

Company C can provide 8 helmets, 5 bats, and 15 balls for $500.

8x + 5y + 15z = 500

Answer: Choice A.

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Answer:

He must charge minimum £0.84 for one hot dog.

Step-by-step explanation:

Ingredients cost for hot dogs at the supermarket,

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Number of tins required for 150 hot dogs = \frac{150}{8} = 6.25

So student will purchase 7 tins.

Cost of 7 tins = 7 × 0.5

                      = £3.5

Number of dog buns packets required = \frac{150}{6} = 25

Cost of 25 packs = 25 × 0.9

                            = £22.5

Total cost of the material used for 150 buns = 22.5 + 3.5

                                                                         = £26.0

Let the selling price of each hot dog = £x

Then selling price of 150 hot dogs = £150x

Students wants the profit = £100

So, Selling price - Cost price = profit

150x - 26 = 100

150x = 126

x = \frac{126}{150}

x = £0.84

Therefore, he must charge minimum £0.84 for one hot dog.

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<em />

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To make a complete tour, at least 1 economy seats

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Maximum passengers per tour = 30

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