Step-by-step explanation: Given that Sheila loves to eat chicken tenders. A small order comes with 5 chicken tenders, and a large order comes with 8 chicken tenders.

Last month, Sheila ordered chicken tenders a total of 7 times. She received a total of 50 chicken tenders.

We are to find the number of large chicken tenders received by Sheila.

Let x and y represents the number of small orders and large orders respectively of chicken tenders.

Then, according to the given information, we have

$x+y=7\\\\\Rightarrow x=7-y~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

and

$5x+8y=50\\\\\Rightarrow 5(7-y)+8y=50~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{Using equation (i)}]\\\\\Rightarrow 35-5y+8y=50\\\\\Rightarrow 3y=50-35\\\\\Rightarrow 3y=15\\\\\Rightarrow y=\dfrac{15}{3}\\\\\Rightarrow y=5.$

Thus, the required number of large order of chicken tenders is 5.

5 0

3 years ago