A florist must make 5 identical bridesmaid bouquets for a wedding. She has a budget of $160 and wants 12 flowers for each bouquet. Roses cost $2.50 each, lilies cost $4 each, and irises cost $2 each. She wants twice as many roses as the other two types of flowers combined. Write a system of equations to represent this situation. How many of each type of flower should be in each bouquet?