Question

Jenna and Danny have tech decks in a ratio of 3:4. Together they have a total of 14 tech decks. How many tech decks does each person have?

A) Jenna has 3 tech decks, and Danny has 4 tech decks.
B) Jenna has 6 tech decks, and Danny has 8 tech decks.
C) Jenna has 5 tech decks, and Danny has 9 tech decks.
D) Jenna has 4 tech decks, and Danny has 3 tech decks.

Answer 1

Jenna has 3 tech decks and Danny has 4 tech decks.

Step-by-step explanation:

To find out how many tech decks each person has, we can set up a proportion. Let x represent the number of tech decks Jenna has. The ratio of Jenna's tech decks to Danny's tech decks is 3:4, so the ratio of Jenna's tech decks to the total number of tech decks is 3:(3+4). This can be written as x/(x+4) = 3/7. Cross-multiplying, we get 7x = 3(x+4). Solving for x, we find x = 3. So Jenna has 3 tech decks and Danny has 4 tech decks.

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