Mahi2003idn
Answered

IDNLearn.com is designed to help you find reliable answers quickly and easily. Our experts provide timely, comprehensive responses to ensure you have the information you need.

Eva wants to make two pieces of pottery. She needs 3/5 pound of clay for one piece and 7/10 pound of clay for the other piece. She has 3 bags of clay that weigh 4/5 pounds each. How many bags of clay will Eva need to make both pieces of pottery? How many pounds of clay will she have left?

Sagot :

Calculistaidn

we know that

Eva needs [tex] \frac{3}{5} [/tex] pound of clay for one piece and [tex] \frac{7}{10} [/tex] pound of clay for the other piece

Step 1

Find the total pound of clay for the two pieces

[tex] \frac{3}{5} +\frac{7}{10} =\frac{(2*3+7)}{10} \\ \\ =\frac{13}{10} pounds [/tex]

Eva has [tex] 3 [/tex] bags of clay that weigh [tex] \frac{4}{5} [/tex] pounds each.

Step 2

Find the total weigh of the [tex] 3 [/tex] bags of clay

[tex] 3*\frac{4}{5} =\frac{12}{5} pounds [/tex]

Part a ) How many bags of clay will Eva need to make both pieces of pottery?

by using proportion

[tex] \frac{1}{\frac{4}{5}} =\frac{x}{\frac{13}{10}} \\ \\ \frac{13}{10} =\frac{4}{5} x\\ \\ x=\frac{5*13}{4*10} \\ \\ x=\frac{65}{40} \\ \\ x=1.625bags [/tex]

therefore

the answer Part a)

she needs [tex] 2 [/tex] bags

Part b) How many pounds of clay will she have left?

Calculate the total weigh of the [tex] 3 [/tex] bags of clay minus the total pound of clay for the two pieces

so

[tex] \frac{12}{5} -\frac{13}{10} =\frac{(2*12-13)}{10} \\ \\ =\frac{(24-13)}{10} \\ \\ =\frac{11}{10} \\ \\ =1\frac{1}{10} pounds [/tex]

therefore

the answer Part b) is

[tex] 1\frac{1}{10} pounds [/tex]

Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. IDNLearn.com provides the answers you need. Thank you for visiting, and see you next time for more valuable insights.