One customer bought 7 tulips and 9 roses for $25.90. Another customer bought 4 tulips and 8 roses for $19.80. How much will it cost a customer to buy 5 tulips and 6 roses

Question

A flower shop sells tulips and roses. The price of each tulip is the same, and the price of each rose is the same. One customer bought 7 tulips and 9 roses for $25.90. Another customer bought 4 tulips and 8 roses for $19.80. How much will it cost a customer to buy 5 tulips and 6 roses?

Answer 1

7t + 9r = 25.9

4t + 8r = 19.8

t + 2r = 4.95

7t + 14r = 34.65

14r -9r = 34.65 -25.9

5r = 8.75

r= $1.75 per rose

t = 4.95-3.5 = $1.45 per tulip

5t + 6r = ??

= 5(1.45) + 6(1.75) = 7.25 + 10.50 = $17.75