Question

Maggie bought a total of 30 pounds of three different types of produce to feed her hungry hippopotamus.

Answer 1

Let b pounds be the weight of bananas, d pounds - weight of dragon fruit and g pounds - weight of guavas Maggie bought.

1) Maggie bought a total of 30 pounds of bananas, guavas and dragon, then

b+d+g=30.

2)

• Bananas cost $1 per pound, then b pounds of bananas cost $b;
• Guavas cost $2 per pound, then g pounds of guavas cost $2g;
• Dragon fruit costs $3 per poundd pounds cost $3d.

In total Maggie spent $46, thus,

b+2g+3d=46.

3) The weight of the bananas (b pounds) that Maggie bought was twice the weight of the guavas (g pounds) and dragon fruit (d pounds) combined. So

b=2(g+d).

The system of equations is

$\left\{\begin{array}{l}b+d+g=30\\b+2g+3d=46\\b=2(d+g)\end{array}\right.$

Answer: equations 1, 2 and 5 are correct