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Jesse takes his dog and cat for their annual vet visit. Jesse's dog weighs 23 pounds. The vet tells him his cats weight is 5/8 as his dogs weight. How much does his cat weigh?

Sagot :

BladeRunner212

14³/₈ or 14.375 pounds.

Further explanation

Given:

  • Jesse takes his dog and cat for their annual vet visit.
  • Jesse's dog weighs 23 pounds.

The vet tells him his cat's weight is ⁵/₈ as his dog's weight.

Question:

How much does his cat weigh?

The Process:

Since the vet tells him his cat's weight is part of his dog's weight by ⁵/₈ part, let us create an 8-unit pattern that represents the dog's weight.

  • Jesse's dog weight in the pattern: [tex]\boxed{ \cdot }\boxed{ \cdot }\boxed{ \cdot }\boxed{ \cdot }\boxed{ \cdot }\boxed{ \cdot }\boxed{ \cdot }\boxed{ \cdot } \rightarrow 23 \ pounds [/tex]  
  • Jesse's cat weight in the pattern: [tex]\boxed{ \cdot }\boxed{ \cdot }\boxed{ \cdot }\boxed{ \cdot }\boxed{ \cdot } \rightarrow \frac{5}{8} \ of \ 23 \ pounds[/tex]

And now, let us find out the cat's weight. As we know, the cats' weight is ⁵/₈ the dog's weight.

The cat's weight:  

[tex]\boxed{ \ = \frac{5}{8} \times 23 \ }[/tex]

[tex]\boxed{ \ = \frac{5 \times 23}{8} \ }[/tex]

Recall this [tex]\boxed{ \ 5 \times (20 + 3) = (5 \times 20) + (5 \times 3) = 100 + 15 = 115 \ }[/tex]

[tex]\boxed{ \ = \frac{115}{8} \ }[/tex]

Recall this [tex]\boxed{ \ 115 \div 8 = (14 \times 8) + 3 \ }[/tex]

[tex]\boxed{ \ = 14\frac{3}{8} \ }[/tex]  as a mixed fraction

[tex]\boxed{ \ = 14\frac{3 \times 125}{8 \times 125} = 14\frac{375}{1,000} = 14.375 \ }[/tex]  as a decimal fraction

Thus, his cat weigh is [tex]\boxed{ \ 14\frac{3}{8} \ or \ 14.375 \ pounds \ }[/tex]

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Keywords: Jesse takes his dog and cat, annual vet visit, Jesse's dog weighs 23 pounds, the vet, his cats weight is 5/8, how much does his cat weigh, mixed fraction, decimal, part, pattern

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