MATH SOLVE

4 months ago

Q:
# Nuts.com sells raw almonds for $10 per pound and roasted pistachios for $12 per pound. Christopher spends $70, before taxes and shipping, to purchase 6.3 total pounds of nuts. How many pounds of almonds did Christopher purchase?

Accepted Solution

A:

Christopher purchased 2.8 pounds of almonds and 3.5 pounds to roasted pistachios.Step-by-step explanation:Cost of almonds per pound = $10Cost of roasted pistachios = $12Total amount spent = $70Weight of nuts = 6.3Let, Weight of almonds = xWeight of roasted pistachios = yAccording to given statement; x+y=6.3 Β Eqn 110x+12y=70 Β Eqn 2Multiplying Eqn 1 by 10[tex]10(x+y=6.3)\\10+10y=63\ \ \ Eqn\ 3[/tex]Subtracting Eqn 3 from Eqn 2;[tex](10x+12y)-(10x+10y)=70-63\\10x+12y-10x-10y=7\\2y=7[/tex]Dividing both sides by 2[tex]\frac{2y}{2}=\frac{7}{2}\\y=3.5[/tex]Putting y=3.5 in Eqn 1[tex]x+3.5=6.3\\x=6.3-3.5\\x=2.8[/tex]Christopher purchased 2.8 pounds of almonds and 3.5 pounds to roasted pistachios.Keywords: linear equations, elimination methodLearn more about elimination method at:brainly.com/question/11007026brainly.com/question/11207748#LearnwithBrainly