Determine which situation could be represented by the system of linear equations given below.

5x+3y = 210

x+y = 60

A guitar requires 5 strings and a banjo requires 3 strings. An orchestra has a total of 210 strings. One guitar player and one banjo player have 60 strings.

A candy story sells boxes of chocolates for $5 each and boxes of caramels for $3 each. In one afternoon, the store sold 210 boxes of candy and made a profit of $60.

An audience contains 210 people. Student tickets cost $3 each and adult tickets cost $5 each. At one performance, there are 60 more adults than students.

An art teacher bought paintbrushes in packs of 5 and packs of 3. She bought a total of 60 packs and now has 210 paintbrushes.

Question

Chelsea Kent

Mathematics

24 January, 05:27

Determine which situation could be represented by the system of linear equations given below.

5x+3y = 210

x+y = 60

A guitar requires 5 strings and a banjo requires 3 strings. An orchestra has a total of 210 strings. One guitar player and one banjo player have 60 strings.

A candy story sells boxes of chocolates for $5 each and boxes of caramels for $3 each. In one afternoon, the store sold 210 boxes of candy and made a profit of $60.

An audience contains 210 people. Student tickets cost $3 each and adult tickets cost $5 each. At one performance, there are 60 more adults than students.

An art teacher bought paintbrushes in packs of 5 and packs of 3. She bought a total of 60 packs and now has 210 paintbrushes.

+2

Answers (1)

Know the Answer?

Francisco Santana · Answer 1

The correct answer is the last choice, the scenario about the paint brushes.

In this scenario x stands for the number of packs of five paintbrushes, and y stands for the number of packs of three paint brushes. This is shown in the first equation.

x plus y will give us 60 total packs of paint brushes which is shown in the second equation.