Six times jason's collection of books and one-third of nathan's collection add up to 134 books. one-third of jason's collection and nathan's entire collection add up to 31 books.

There are 21 books Jason's have and 24 books Nathan's have.

Given

Six times Jason's collection of books and one-third of Nathan's collection add up to 134 books.

One-third of Jason's collection and Nathan's entire collection add up to 31 books.

Let the number of collection of books Jason's be x.

And the number of collection of books Nathan's be y.

Six times Jason's collection of books and one-third of Nathan's collection add up to 134 books.

One-third of Jason's collection and Nathan's entire collection add up to 31 books.

On solving both the equations;

From equation 1;

Substitute the value of y in equation 2

Substitute the value of x in equation 2

Hence, there are 21 books Jason's have and 24 books Nathan's have.

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34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm