Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.An employee at an organic food store is assembling gift baskets for a display. Using wicker baskets, the employee assembled 2 small baskets and 10 large baskets, using a total of 194 pieces of fruit. Using wire baskets, the employee assembled 9 small baskets and 10 large baskets, using a total of 243 pieces of fruit. Assuming that each small basket includes the same amount of fruit, as does every large basket, how many pieces are in each?The small baskets each include _ pieces and the large ones each include _ pieces.
Q. Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.An employee at an organic food store is assembling gift baskets for a display. Using wicker baskets, the employee assembled 2 small baskets and 10 large baskets, using a total of 194 pieces of fruit. Using wire baskets, the employee assembled 9 small baskets and 10 large baskets, using a total of 243 pieces of fruit. Assuming that each small basket includes the same amount of fruit, as does every large basket, how many pieces are in each?The small baskets each include _ pieces and the large ones each include _ pieces.
Define Variables: Let x be the number of pieces of fruit in each small basket and y be the number of pieces of fruit in each large basket.First equation based on wicker baskets: 2x+10y=194
Form Equations: Second equation based on wire baskets: 9x+10y=243
Eliminate Variable: System of equations:2x+10y=1949x+10y=243We will eliminate y by subtracting the first equation from the second.
Solve for x: Subtract the first equation from the second to solve for x.(9x+10y)−(2x+10y)=243−1949x+10y−2x−10y=243−1947x=49x=749x=7
Solve for y: Substitute x=7 into the first equation to solve for y.2(7)+10y=19414+10y=19410y=194−1410y=180y=10180y=18
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