Solving by substitution how many problems of each point value are on the test? mr. martin's math test, which is worth 100 points has 29 problems. each problem is worth either 5 points or 2 points. letr be the number of questions worth 5 points and lety be the number of questions worth 2 points. i+ y = 29.5x + 2y = 100 10 problems worth 5 points and 25 problems worth 2 points 14 problems worth 5 points and 15 problems worth 2 points 16 problems worth 5 points and 13 problems worth 2 points 15 problems worth 5 points and 13 problems worth 2 points

x=74

Explanation:

Solve:

x−12=114

Convert 114 to an improper fraction by multiplying the denominator by the whole number 1, and adding the numerator 1. Set the result over the denominator 4.

4×1+14=54

Rewrite the equation.

x−12=54

Add 12 to both sides.

x=54+12

In order to add or subtract fractions, the denominators must be the same. In this case the least common denominator (LCD) is 4. Multiply 12 by a fraction equal to 1 in order to produce an equivalent fraction. For example 55=1. This way the value of the fraction is not changed.

Multiply 12 by 22.

x=54+12×22

Simplify.

x=54+24

Simplify.

x=74

Kushagra

Nov 11, 2017

First, make the mixed fraction into improper fraction,

x−12=54

Add 1/2 on both sides

x−