How many solutions exist for the given equation?

0.75(x + 40) = 0.35(x + 20) + 0.35(x + 20)

We can solve the given equation to get the answer.

0.75(x + 40) = 0.35(x + 20) + 0.35(x + 20)

0.75x+30=0.35x+7+0.35x+7 By distributing property.

0.75x+30=0.70x +14 Combining the like terms.

0.75x+30-0.70x=0.70x+14-0.70x Subtracting 0.70x from each sides.

0.05x+30=14

0.05x+30-30=14-30 Subtracting 30 from each sides.

0.05x=-16

Dividing each sides by 0.05.

x=-320.

We have got x=-320 which is an unique solution. So, there is only one solution.

x

step-by-step explanation:

i think there was a typo. you wrote pat brings 3 quarts of ice-cream to the party. each serving of ice-cream is 1 6 quart. how many total servings of ice-cream does pat bring to the party? i think the bold is supposed to be 1/6. so 1 quart of ice cream = 6 servings. 6 * 3 = 18.