If the puzzle was solved in 1/5 hour, we can multiply the time it took to solve one puzzle by 5.

2/5(5/1)
=10/5
=2

So she'll be able to solve 2 puzzles in one hour.

:)

3 0

3 years ago

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The combined age of three relatives is 120 years. James is three times the age of Dan, and Paul is two times the sum of the ages

d1i1m1o1n [39]

Answer:

Step-by-step explanation:

From the problem statement, we can create the following equation:

$J + P + D = 120$

where $J$ is the age of James, $P$ is the age of Paul, and $D$ is the age of Dan.

From the first part of the second sentence, we can set up the following equation:

$J = 3D$

From the last part of the second sentence, we can set up the following equation:

$P = 2(J + D)$

We can substitute the second equation into the last one to get the following:

$P = 2(3D + D)$

$P = 2(4D)$

$P = 8D$

We can then substitute the last two equations in the first to solve for $D$ :

$3D + 8D + D = 120$

$12D = 120$

$D = 10$

Plugging this into the other two equations will give us the remaining ages:

$P = 8D$

$P = 8(10)$

$P = 80$

$J = 3D$

$J = 3(10)$

$J = 30$

8 0

3 years ago