9.7 Solve a formula for a specific variable  (Page 6/9)

Paulette has $\text{\$140}$ in $\text{\$5}$ and $\text{\$10}$ bills. The number of $\text{\$10}$ bills is one less than twice the number of $\text{\$5}$ bills. How many of each does she have?

Lenny has $\text{\$3.69}$ in pennies, dimes, and quarters. The number of pennies is $3$ more than the number of dimes. The number of quarters is twice the number of dimes. How many of each coin does he have?

A church luncheon made $\text{\$842}.$ Adult tickets cost $\text{\$10}$ each and children’s tickets cost $\text{\$6}$ each. The number of children was $12$ more than twice the number of adults. How many of each ticket were sold?

Tickets for a basketball game cost $\text{\$2}$ for students and $\text{\$5}$ for adults. The number of students was $3$ less than $10$ times the number of adults. The total amount of money from ticket sales was $\text{\$619}.$ How many of each ticket were sold?

Ana spent $\text{\$4.06}$ buying stamps. The number of $\text{\$0.41}$ stamps she bought was $5$ more than the number of $\text{\$0.26}$ stamps. How many of each did she buy?

Yumi spent $\text{\$34.15}$ buying stamps. The number of $\text{\$0.56}$ stamps she bought was $10$ less than $4$ times the number of $\text{\$0.41}$ stamps. How many of each did she buy?

What is the supplement of a $\text{48°}$ angle?

What is the complement of a $\text{61°}$ angle?

Two angles are complementary. The smaller angle is $\text{24°}$ less than the larger angle. Find the measures of both angles.

Two angles are supplementary. The larger angle is $\text{45°}$ more than the smaller angle. Find the measures of both angles.

The measures of two angles of a triangle are $22$ and $85$ degrees. Find the measure of the third angle.

One angle of a right triangle measures $41.5$ degrees. What is the measure of the other small angle?

One angle of a triangle is $\text{30°}$ more than the smallest angle. The largest angle is the sum of the other angles. Find the measures of all three angles.

One angle of a triangle is twice the measure of the smallest angle. The third angle is $\text{60°}$ more than the measure of the smallest angle. Find the measures of all three angles.

side $x$

side $b$

Sergio needs to attach a wire to hold the antenna to the roof of his house, as shown in the figure. The antenna is $8$ feet tall and Sergio has $10$ feet of wire. How far from the base of the antenna can he attach the wire?

Seong is building shelving in his garage. The shelves are $36$ inches wide and $15$ inches tall. He wants to put a diagonal brace across the back to stabilize the shelves, as shown. How long should the brace be?