Shown in the table below are specified grading for a road base material and the gradings of theShown in the table below are specified grading for a road base material and the gradings of the two aggregate materials A and B that are available. Determine the proportion that could be adopted for blending the two aggregates A and B to satisfy the specified grading. Also, if aggregates A and B have bulk specific gravities of $2\mathrm{.}45$ and $2\mathrm{.}67$ respectively, calculate the specific gravity of the blended aggregates.

$\backslash$table$[[$Aggregate$,\backslash$table$[[50],[$mm$]],\backslash$table$[[37\mathrm{.}5],[$mm$]],\backslash$table$[[25],[$mm$]],\backslash$table$[[19],[$mm$]],\backslash$table$[[12\mathrm{.}5],[$mm$]],\backslash$table$[[9\mathrm{.}5],[$mm$]],\backslash$table$[[4\mathrm{.}75],[$mm$]],\backslash$table$[[2\mathrm{.}36],[$mm$]],\backslash$table$[[0\mathrm{.}425],[$mm$]],\backslash$table$[[0\mathrm{.}075],[$mm$]]],[$Specification$,100,\backslash$table$[[85-],[100]],\backslash$table$[[70-],[90]],\backslash$table$[[60-],[80]],\backslash$table$[[48-],[72]],\backslash$table$[[42-],[66]],\backslash$table$[[28-],[55]],\backslash$table$[[20-],[44]],9-25,4-15],[$Target$,,,,,,,,,,],[$Aggregate A$,100,89,74,60\mathrm{.}4,46,38\mathrm{.}5,20,7\mathrm{.}1,0\mathrm{.}1,0],[$Aggregate B$,100,100,100,100,96\mathrm{.}2,91\mathrm{.}5,76\mathrm{.}1,62,32\mathrm{.}1,16\mathrm{.}4]]$

two aggregate materials A and B that are available. Determine the proportion that could be adopted

for blending the two aggregates A and B to satisfy the specified grading. Also, if aggregates A and

B have bulk specific gravities of $2\mathrm{.}45$ and $2\mathrm{.}67$ respectively, calculate the specific gravity of the

blended aggregates.

Aggregate $50$

mm

$37\mathrm{.}5$

mm

$25$

mm

$19$

mm

$12\mathrm{.}5$

mm

$9\mathrm{.}5$

mm

$4\mathrm{.}75$

mm

$2\mathrm{.}36$

mm

$0\mathrm{.}425$

mm

$0\mathrm{.}075$

mm

Specification $10085$

$100$

$70$

$90$

$60$

$80$

$48$

$72$

$42$

$66$

$28$

$55$

$20$

$44$

$925415$

Target

Aggregate A $100897460\mathrm{.}44638\mathrm{.}5207\mathrm{.}10\mathrm{.}10$

Aggregate B $10010010010096\mathrm{.}291\mathrm{.}576\mathrm{.}16232\mathrm{.}116\mathrm{.}4$