Agift basket that contains jars of jam and packages of bread mix costs $45. there are 8 items in the basket. jars of jam cost $6 each, and packages of bread mix cost $5 each. write and solve a system of linear equations to find the number of jars of jam and the number of packages of bread mix in the gift basket.

5 jars of jam and 3 packages of bread mix are in gift basket

Solution:

Let "x" be the number of jars of jam

Let "y" the number of packages of bread mix

Cost of 1 jars of jam = $ 6

Cost of 1 package of bead mix = $ 5

There are 8 items in the basket

Therefore,

number of jars of jam + number of packages of bread mix = 8

x + y = 8 ---------- eqn 1

A gift basket that contains jars of jam and packages of bread mix costs $45

Therefore, we frame a equation as:

number of jars of jam x Cost of 1 jars of jam + number of packages of bread mix x Cost of 1 package of bead mix = 45

6x + 5y = 45 --------- eqn 2

Let us solve eqn 1 and eqn 2

From eqn 1,

x = 8 - y --------- eqn 3

Substitute eqn 3 in eqn 2

6(8 - y) + 5y = 45

48 - 6y + 5y = 45

y = 48 - 45

Substitute y = 3 in eqn 3

x = 8 - 3

Thus 5 jars of jam and 3 packages of bread mix are in gift basket

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.