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HELP JIMTHOMPSON5910

The ratio of pumpkins to squashes in a garden is 5 to 4 . There are 25 pumpkins in the garden . What is the total number of pumpkins and squashes in the garden?

How do you know that the number of pumpkins must be greater than the number of squashes?

User Dvarelas
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1 Answer

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Answer: 45

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Step-by-step explanation:

"The ratio of pumpkins to squashes in a garden is 5 to 4". This means that we could have 5 pumpkins and 4 squashes. However, this doesn't match with the fact that "there are 25 pumpkins". Luckily, we can multiply both the "5" and "4" by the value 5 like so

5*5 = 25

5*4 = 20

The ratio "5 to 4" is equivalent to "25 to 20". Now we have 25 pumpkins and 20 squashes. The grand total is 25+20 = 45 which is the final answer.

We know there are more pumpkins than squashes because the "5" in "5 to 4" is the larger value, and also that '5' corresponds to the number of pumpkins in relation to the number of squashes. If we had more squashes, then it would be something like 4 to 5. The order of the values matters.

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Here's another way to solve:

x = number of squashes

5/4 = 25/x

5x = 4*25 .... cross multiply

5x = 100

x = 100/5

x = 20

We have 25 pumpkins to go with 20 squashes, so there are 25+20 = 45 vegetables total.

User Abdul Raziq
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