Leyan

Leyan bought 2 3/4 pounds of apples for $1.32 per pound, 1 1/2 pounds of peaches for $1.20 per pound, and some tomatoes, all from a grocery store. The total cost of his purchase was $9.63.
How much money did Leyan spend on tomatoes?

Final Answer:

t =  4 ¹⁄₅ = 21/5 USD

Step-by-step explanation:

$$\begin{gathered} a=2\frac{3}{4}=2+\frac{3}{4}=\frac{2\cdot 4+3}{4}=\frac{8+3}{4}=\frac{11}{4}=2.75\text{lb} \\ p=1\frac{1}{2}=1+\frac{1}{2}=\frac{1\cdot 2+1}{2}=\frac{2+1}{2}=\frac{3}{2}=1.5\text{lb} \\ s=a\cdot 1.32+p\cdot 1.20=\frac{11}{4}\cdot 1.32+\frac{3}{2}\cdot 1.20=\frac{543}{100}=5.43\text{USD} \\ s+t=9.63 \\ t=9.63-s=9.63-\frac{543}{100}=\frac{21}{5}\text{USD}=4\frac{1}{5}\text{USD}=4.2\text{USD} \end{gathered}$$

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