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3 years ago

The ratio of apples to bananas is 1 to 3. The ratio of peaches to bananas is 3 to 2. What is the ratio of apples to peaches?

Mathematics

1 answer:

Ksivusya [100]3 years ago

3 0

Answer:

The ratio of apples to peaches is 2 to 9.

Step-by-step explanation:

For every 1 apple, there are 3 bananas.

For every 3 peaches, there are 2 bananas.

To compare apples to peaches, we need to make the bananas in each of the proportions equal.

(1 apple = 3 bananas ) x 2 --> 2 apples= 6 bananas

(3 peaches = 2 bananas) x 3 --> 9 peaches= 6 bananas

Now that the bananas are equal and the other fruits are proportionate to the number of bananas, we can see that for every 2 apples there are 9 peaches.

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3 years ago

Laura is planning a party for her son. She has $50 dollars remaining in her budget and wants to provide one party favor per pers

enyata [817]

Answer:

The system of inequalities that represents this situation is:

x+y≥10

6x+4y≤50

Step-by-step explanation:

As the statement says that Laura wants to provide one party favor per person to at least 10 guests, the first inequality would indicate that the number of stuffed animals plus the number of toy trucks should be equal or greater than 10:

x+y≥10

Also, the statement indicates that miniature stuffed animals cost $6.00 each and the toy trucks cost $4.00 each and that Laura has $50. From this, you would have an inequality that indicates that 6 for the number of miniature stuffed animals and 4 for the number of toy trucks would be equal or less than 50:

6x+4y≤50

The answer is that the system of inequalities that represents this situation is:

x+y≥10

6x+4y≤50

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3 years ago

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3 years ago

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3 years ago