3. mr. sanchez’s class sold fruit pies for $1.55 each and mr. kelly’s class sold bottles of fruit juice for $1.40 each. together, the classes sold 60 items and earned $88.20 for their school. write and solve a system of equations that model the problem. show all your work.

The equations are

a + b = 60 equation(i)

1.55(a) + 1.40(b) = 88.20 equation(ii)

The number of pies sold is 28 while the number of juice sold is 32.

Step-by-step explanation:

Mr Sanchez class sold pies for $ 1.55 each while Mr Kelly class sold juice for $ 1.40 each. Together both classes sold 60 items(pies and juice) and earned a combined total of $ 88.20.

Let the number of pies sold = a

let the number of juice sold = b

The total number of pies and juice sold can be represented as

a + b = 60 equation(i)

The accumulated amount in dollars sold for both pies and juice can be represented as

1.55(a) + 1.40(b) = 88.20 equation(ii)

Two equation have been formed, so it is a simultaneous equation. The value of a and b can be gotten from the equations.

a + b = 60

1.55(a) + 1.40(b) = 88.20

Make a the subject of the formula in equation (i)

a = 60 - b

Substitute the value of a in equation (ii)

1.55(60-b) + 1.40(b) = 88.20

93 - 1.55b + 1.40b = 88.20

93 - 0.15b = 88.20

0.15b = 93 - 88.20

0.15b = 4.8

b = 4.8/0.15

b = 32

Substitute b in equation (i)

a + b = 60

a + 32 = 60

a = 60 - 32

a = 28

The number of pies sold is 28 while the number of juice sold is 32.

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.