the product of 2 consecutive integers is 5 more than the square of the smaller integer. What is the value of the smaller integer?

5

Step-by-step explanation:

lets say that the small number is x, the consecutive one must be x+1

x(x+1) = x²+5 ; distribute x

x²+x = x²+5 ; subtract x² from both sides

x= 5

check :

5*6 = 30

5²+5 = 25+5 = 30

1 1/5

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.