Question

two large boxes of iguanas arrived at rikki's reptilo-rama, but the iguanas escaped before rikki had a chance to take inventory. Rikki has captured 92 iguanas, but she's not sure that is all of them because the lizards ate the packing lists. The only bits of paper she can find say that there were 19 more iguanas in one box than the other, and there were 3 iguanas in one box for every 2 in the other. Has Rikki got them all?

Answer 1

x – iguanas in first box

y – iguanas in second box

**Solution:**

make a system:

$$\left\{ \begin{array}{l} x - y = 19 \\ \frac{x}{y} = \frac{3}{2} \end{array} \right.$$

1) $x = 19 + y$

2) $\frac{19 + y}{y} = \frac{3}{2}$

3) $y = 38$

4) $x = 38 + 19 = 57$

5) Iguanas together: $38 + 57 = 95$

6) Rikki lost: $95 - 92 = 3$

**Answer:** Rikki lost 3 iguanas