Translate the phrase into an algebraic expression using the strategy of mapping keywords to operations: "three times the sum of y and four."

Translate and solve: "One third of a number plus four equals ten."

Translate the sentence and solve the resulting quadratic: "The product of a number and the difference of seven and that number is ten."

A baker uses three times as much flour as sugar. If the total combined cups of flour and sugar is 8 cups, use the strategy of assigning variables and forming a single equation to find how many cups of sugar and flour were used.

Rewrite the equation 4(x + 2) = 3x + 10 as a clear verbal sentence that preserves the grouping and equality.