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9 bottles of soda and 10 juice bottles are purchased
<em><u>Solution:</u></em>
Given that,
Sugar contained by each soda bottle = 45 grams
Sugar contained by each juice bottle = 35 grams
Let,
x be the number of soda bottles
y be the number of juice bottles
Given that,
<em><u>Ethan purchased a total of 19 bottles of juice</u></em>
Therefore, we get,
x + y = 19 ---------- eqn 1
<em><u>Ethan purchased a total of 19 bottles of juice and soda which collectively contain 755 grams of sugar</u></em>
<em><u>Therefore, we frame a equation as:</u></em>
45x + 35y = 755 --------- eqn 2
<em><u>Let us solve eqn 1 and eqn 2</u></em>
<em><u>From eqn 1,</u></em>
x = 19 - y --------- eqn 3
Substitute eqn 3 in eqn 2
45(19 - y) + 35y = 755
855 - 45y + 35y = 755
10y = 100
y = 10
<em><u>Substitute y = 10 in eqn 3</u></em>
x = 19 - 10
x = 9
Thus 9 bottles of soda and 10 juice bottles are purchased