Question

During a sale at the market​, steaks sold for ​$4 and watermelons sold for ​$3.50. Luca spent ​$23 and bought a total of 6 steaks and watermelons. How many of each did he ​buy?

Answer 1

`\text{Make a systems of equations and solve:}\\\\s+w=6\\\\4s+3.50w=23\\\\\text{Lets solve for s first:}\\\\-3.5(s+w=6)\\\\4s+3.50w=23\\\\-3.50s-3.50w=-21\\\\4s+3.50w=23\\\\0.50s=2\\\\s=4\\\\\text{He bought 4 steaks}\\\\\text{Plug in 4 to s in one of the equations and solve:}`

`4+w=6\\\\\text{Subtract 4 from both sides}\\\\w=2\\\\\text{He bought 2 watermelons}\\\\\boxed{\text{He bought 4 steaks and 2 watermelons}}`