Check
The cost of 8 muffins and 2 quarts of milk is . The cost of 3 muffiss
and 1 quart of milk is . This situation can be represented with the
system and , where represents the cos
of each muffin and represents the cost of one quart of milk. Find tes
cost of a muffin and a quart of milk.

Ask by Rodriquez Bates. in the United States

Mar 26,2025

Question

Check
The cost of 8 muffins and 2 quarts of milk is . The cost of 3 muffiss
and 1 quart of milk is . This situation can be represented with the
system and , where represents the cos
of each muffin and represents the cost of one quart of milk. Find tes
cost of a muffin and a quart of milk.

Ask by Rodriquez Bates. in the United States

Mar 26,2025

UpStudy AI · Accepted Answer

Solve the system of equations $$ 8x+2y=18;3x+y=7.5 $$.
Solve the system of equations by following steps:
- step0: Solve using the substitution method:
  $$\left\{ \begin{array}{l}8x+2y=18\3x+y=7.5\end{array}ight.$$
- step1: Solve the equation:
  $$\left\{ \begin{array}{l}8x+2y=18\y=7.5-3x\end{array}ight.$$
- step2: Substitute the value of $$y:$$
  $$8x+2\left(7.5-3xight)=18$$
- step3: Simplify:
  $$2x+15=18$$
- step4: Move the constant to the right side:
  $$2x=18-15$$
- step5: Subtract the numbers:
  $$2x=3$$
- step6: Divide both sides:
  $$\frac{2x}{2}=\frac{3}{2}$$
- step7: Divide the numbers:
  $$x=\frac{3}{2}$$
- step8: Substitute the value of $$x:$$
  $$y=7.5-3	imes \frac{3}{2}$$
- step9: Calculate:
  $$y=3$$
- step10: Calculate:
  $$\left\{ \begin{array}{l}x=\frac{3}{2}\y=3\end{array}ight.$$
- step11: Check the solution:
  $$\left\{ \begin{array}{l}x=\frac{3}{2}\y=3\end{array}ight.$$
- step12: Rewrite:
  $$\left(x,yight) = \left(\frac{3}{2},3ight)$$
The cost of a muffin is $1.50 and the cost of a quart of milk is $3. Therefore, the cost of a muffin and a quart of milk is $1.50 + $3 = $4.50.
The cost of a muffin is $1.50 and a quart of milk is $3.00, totaling $4.50.

Check
The cost of 8 muffins and 2 quarts of milk is . The cost of 3 muffiss
and 1 quart of milk is . This situation can be represented with the
system and , where represents the cos
of each muffin and represents the cost of one quart of milk. Find tes
cost of a muffin and a quart of milk.

Solución de inteligencia artificial de Upstudy

Responder

Solución

Mind Expander

preguntas relacionadas

Latest Algebra Questions

Check The cost of 8 muffins and 2 quarts of milk is . The cost of 3 muffiss and 1 quart of milk is . This situation can be represented with the system and , where represents the cos of each muffin and represents the cost of one quart of milk. Find tes cost of a muffin and a quart of milk.

Solución de inteligencia artificial de Upstudy

Responder

Solución

Mind Expander

preguntas relacionadas

Latest Algebra Questions

Check
The cost of 8 muffins and 2 quarts of milk is . The cost of 3 muffiss
and 1 quart of milk is . This situation can be represented with the
system and , where represents the cos
of each muffin and represents the cost of one quart of milk. Find tes
cost of a muffin and a quart of milk.