Chase and Sara went to the candy store. Chase bought 5 pieces of fudge and 3 pieces of bubble gum for a total of $5.70. Sara bought 2 pieces of fudge and 10 pieces of bubble gum for a total of $3.60. Which system of equations could be used to determine the cost of 1 piece of fudge, f, and 1 piece of bubble gum, g?

5f+3g=5.70

2f+10g=3.60

Step-by-step explanation:

Cost of 1 piece of fudge =f

Cost of 1 piece of bubble gum =g

If Chase bought 5 pieces of fudge and 3 pieces of bubble gum for a total of $5.70.

Chase's Cost:

For 5 pieces of Fudge, his cost is 5f

For 3 pieces of bubble gum, his cost is 3g

His Total, 5f+3g=$5.70

Sara bought 2 pieces of fudge and 10 pieces of bubble gum for a total of $3.60.

Sara's Cost:

For 2 pieces of fudge, her cost is 2f

For 10 pieces of bubble gum, her cost is 10g

Her Total, 2f+10g=$3.60

The system of equation that could be used to determine the cost of 1 piece of budge and bubblegum is then:

5f+3g=$5.70

2f+10g=$3.60

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

30 units^2

step-by-step explanation:

area is l × w

the length is 3

and the width is 10

3 × 10= 30 units squared