6.06 Applications of linear systems
Interactive practice questions
The total cost of $9$9 sharpeners and $5$5 sketchbooks is $\$31.55$$31.55. If the cost of a sharpener is $\$a$$a, and a sketchbook is $\$2.25$$2.25 more expensive, find $a$a. Give your answer to two decimal places.
Maria and Buzz both walk from their houses to the bus stop every morning. Maria walks $1.5$1.5 kilometers further, and together they walk $3.3$3.3 kilometers.
If Buzz walks a distance of $d$d kilometers find the value of $d$d.
A rectangular garden bed has a perimeter of $13.2$13.2 meters and the length is $3.4$3.4 meters longer than the width. What are the dimensions of the garden bed?
When comparing some test results Christa noticed that the sum of her Geography test score and Science test score was $172$172, and that their difference was $18$18.
Given that her Geography score is $x$x and her Science score is $y$y and she scored higher for the Geography test: