3. Solving Word Problems

Mixture Problem Solving

3. Solving Word Problems

Mixture Problem Solving

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Multiple Choice

Maya needs $48$ sq ft of tile for a backsplash. Basic tiles cost \$9 per sq ft and designer tiles cost \$25 per sq ft. She wants the overall average cost to be $dollar sign 14$ per sq ft. How many square feet of each tile should she use?

Basic tiles $equals 18 sq of ft of$ ; Designer tiles $equals 30 sq of ft of$

Basic tiles $equals 30 sq of ft of$ ; designer tiles $equals 18 sq of ft of$

Basic tiles $equals 15 sq of ft of$ ; Designer tiles $equals 33 sq of ft of$

Basic tiles $equals 33 sq of ft of$ ; Designer tiles $equals 15 sq of ft of$

Verified step by step guidance

Define variables for the unknown quantities: let $x$ be the square feet of basic tiles and $y$ be the square feet of designer tiles.

Write the equation for the total area of tiles needed: $x + y = 48$.

Write the equation for the total cost based on the average cost per square foot: \$9x + 25y = 14 \times 48$.

Use the first equation to express one variable in terms of the other, for example, $y = 48 - x$.

Substitute $y = 48 - x$ into the cost equation and solve for $x$, then use that value to find $y$.

5:18m

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Struggling with Intermediate Algebra?

Maya needs 4848 sq ft of tile for a backsplash. Basic tiles cost \$9 per sq ft and designer tiles cost \$25 per sq ft. She wants the overall average cost to be $14\$14 per sq ft. How many square feet of each tile should she use?

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Maya needs $48$ sq ft of tile for a backsplash. Basic tiles cost \$9 per sq ft and designer tiles cost \$25 per sq ft. She wants the overall average cost to be $dollar sign 14$ per sq ft. How many square feet of each tile should she use?