If \( \frac{a}{4}=\frac{b}{5}=\frac{c}{3} \), prove that: \( \frac{a-b+c}{a+b-c}=\frac{1}{3} \)

USING EQUATIONS to solve WORD PROBLEMS Directions: Set up and solve an equation for each problem below. 8. Kelly, Laura, and Tia sold boxes of cookies fol fundraiser. Kelly sold 15 boxes less than Laura Tia sold twice as many boxes as Kelly. If they sold 83 boxes of cookies in total, how many boxes did each girl sell?

USING EQUATIONS to solve WORD PROBLEMS Directions: Set up and solve an equation for each problem below. The length of one base of a trapezoid is 19 less than five times the length of the other base. If the trapezoid has a height of 18 feet and an area of \( 477 \mathrm{ft}^{2} \), find the length of the longer base.

Two cubic roots are given below. \( \sqrt[3]{27} \) and \( \sqrt[3]{343} \) Write \( \mathrm{a} \times \mathrm{a} \times \mathrm{a} \times \mathrm{a} \times \mathrm{a} \times \mathrm{a} \) in the form of indices (b) Multiply the given two cubic roots. c) Prove that: \( \left(\frac{\mathrm{x}^{a}}{\mathrm{x}^{b}}\right)^{a+b}\left(\frac{x^{b}}{x^{c}}\right)^{b+c}\left(\frac{\mathrm{x}^{c}}{\mathrm{x}^{a}}\right)^{c+a}=1 \)

USING EQUATIONS to solve WORD PROBLEMS Directions: Set up and solve an equation for each problem below. 7. The measure of one angle is str more than half the measure of another angle. If the angles are complementary, find both measures.

USING EQUATIONS to solve WORD PROBLE Directions: Set up and solve an equation for each problem below. 4. Kara's golf score was 1 less than three fourths of Greg's golf score. If the sum of their scores was 153, find Kara's golf score.