Math / Numbers & Operations

QuestionTuesday: Use a diagram to answer the 4

Studdy Solution

STEP 1

1. The number of dogs in the park last year was $40$ .
2. The number of dogs increased by $75\%$ .
3. The number of cats in the pet store last year was $20$ .
4. The number of cats decreased by $25\%$ .

STEP 2

1. Calculate the current number of dogs in the park.
2. Calculate the current number of cats in the pet store.

STEP 3

Calculate the increase in the number of dogs.
The increase is $75\%$ of $40$ .
$\text{Increase} = 0.75 \times 40$

STEP 4

Calculate the actual increase.
$\text{Increase} = 0.75 \times 40 = 30$

STEP 5

Add the increase to the original number of dogs to find the current population.
$\text{Current number of dogs} = 40 + 30 = 70$

STEP 6

Calculate the decrease in the number of cats.
The decrease is $25\%$ of $20$ .
$\text{Decrease} = 0.25 \times 20$

STEP 7

Calculate the actual decrease.
$\text{Decrease} = 0.25 \times 20 = 5$

STEP 8

Subtract the decrease from the original number of cats to find the current population.
$\text{Current number of cats} = 20 - 5 = 15$
The current number of dogs in the park is:
$\boxed{70 \text{ dogs}}$
The current number of cats in the pet store is:
$\boxed{15 \text{ cats}}$

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