Question

a pet store has a ratio of 5 birds for every 4 hamsters. which combination of birds and hamsters could the pet store have?
a. 15 hamsters and 12 birds
b. 24 hamsters and 30 birds
c. 35 birds and 24 hamsters
earls electronics stocks iphones and androids at a ratio of 9:4. which combination of iphones and androids could they carry?
a. 81 iphones and 36 androids
b. 72 androids and 32 iphones
c. 45 iphones and 25 androids

Explanation:

First Question (Pet Store Ratio)

Step1: Recall the given ratio (birds:hamsters = 5:4)

We need to check which option has a ratio equivalent to \( \frac{5}{4} \) (birds/hamsters).

Step2: Check Option A

Ratio for A: \( \frac{12}{15}=\frac{4}{5} \) (hamsters/birds, inverse of needed). So not equal to \( \frac{5}{4} \).

Step3: Check Option B

Ratio for B: \( \frac{30}{24}=\frac{5}{4} \) (birds/hamsters). This matches the given ratio.

Step4: Check Option C

Ratio for C: \( \frac{35}{24}\approx1.458 \), \( \frac{5}{4} = 1.25 \). Not equal.

Step1: Recall the given ratio (iPhones:Androids = 9:4)

We need to check which option has a ratio equivalent to \( \frac{9}{4} \) (iPhones/Androids).

Step2: Check Option A

Ratio for A: \( \frac{81}{36}=\frac{9}{4} \) (iPhones/Androids). This matches the given ratio.

Step3: Check Option B

Ratio for B: \( \frac{32}{72}=\frac{4}{9} \) (iPhones/Androids, inverse of needed). Not equal.

Step4: Check Option C

Ratio for C: \( \frac{45}{25}=\frac{9}{5} \). Not equal to \( \frac{9}{4} \).

Answer:

B. 24 hamsters and 30 birds

Second Question (Electronics Ratio)