Answer
The cost of 1 and (1/4) pounds of raspberries is $10.
Explanation
Anyeny bought (3/4) pounds of raspberries for $6.
What is the cost of 1 and (1/4) pounds of raspberries.
[tex]1\frac{1}{4}=\text{ }\frac{5}{4}[/tex]
(3/4) pounds = $6
(5/4) pounds = x dollars
Creatin a mathematical relation by cross multiplying
(3/4) × x = (5/4) × 6
[tex]\begin{gathered} \frac{3}{4}\times x=\frac{5}{4}\times6 \\ \frac{3x}{4}=\text{ }\frac{30}{4} \\ \text{Cross multiply} \\ 3x\times4=30\times4 \\ 12x=\text{ 120} \\ \text{Divide both sides by 12} \\ \frac{12x}{12}=\frac{120}{12} \\ x=10 \end{gathered}[/tex]Hence, the cost of 1 and (1/4) pounds of raspberries is $10.
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