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natita [175]
3 years ago
5

At competing grocery stores, bananas are 80 cents a pound at the first store and 85 cents a pound at the second store. Apples ar

e 3 dollars a pound at the first store and 2.50 dollars a pound at the second store.
Suppose you buy x pounds of bananas and y pounds of apples at each store. You end up spending 10 dollars at the first store and 12 dollars at the second store.

Which system of equations represents the amount of money you spend on bananas and apples at each store?
Mathematics
1 answer:
jek_recluse [69]3 years ago
7 0

Answer:

0.8x + 3y = 10

0.85x + 2.50y = 12

Step-by-step explanation:

Given :

Spending at first store :

Cost of Banana = 80 cent per pound = 0.80

Cost of apple = $3 per pound

Total amount spent = $10

Pounds of banana = x

Pounds of apple = y

0.8x + 3y = 10 - - - (1)

Spending at second store :

Cost of Banana = 80 cent per pound = 0.85

Cost of apple = $2.50 per pound

Total amount spent = $12

Pounds of banana = x

Pounds of apple = y

0.85x + 2.50y = 12 - - - - (2)

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x - the price of an adult ticket
y - the price of a child ticket

The Jones <span>paid $74 for 2 adults and 2 children: 2x + 2y = 74
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This is the system of two equations:
</span>2x + 2y = 74
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____
Multiply the first one by (-1)
2x * (-1) + 2y * (-1) = 74 * (-1)
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Sum the equations:
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Substitute y in the first equation to find x:
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Read 2 more answers
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