5.6 , 6.5
As "milk" appears in both ratios you need to create equivalent ratios with the same value of "milk" in each; then you can combine the two ratios in to one ratio for all three and use that ratio to solve the problem.Equivalent ratios are like equivalent factions: whatever you multiply/divide one side of the ratio by, you must multiply/divide the other side by the same amount and you will have an equivalent ratio - this is how ratios are simplified.The first ratio plain : milk = 2 : 3The second ratio milk : white = 7 : 2To avoid fractions, use the lcm of the value of the "milk" in both ratios: ie the lcm(3, 7) = 21 as the value of "milk" in the equivalent ratios - divide the lcm by the current value to find what number you need to multiply the ratio by:The first ratio can be multiplied by 21 ÷ 3 = 7 to give:plain : milk = 2 : 3 = 2×7 : 3×7 = 14 : 21The second ratio can be multiplied by 21 ÷ 7 = 3 to give:milk : white = 7 : 2 = 7×3 : 2×3 = 21 : 6The two ratios can now be combined in a single ratio with three terms as the "milk" is 21 in each case, forming:plain : milk : white = 14 : 21 : 6From this we can find how many of each type of chocolate there are, and in particular how many plain ones there are:There are 14 + 21 + 6 = 41 parts→ each part is worth 123 chocs ÷ 41 parts = 3 chocs per part→ There are 14 parts × 3 chocs per part plain = 42 plain chocolates-------------------------------------------------------------------To check we can also work out the quantity of the other two types of chocolates:& There are 21 parts × 3 chocs per part milk = 63 milk& There are 6 parts × 3 chocs per part white = 18 whiteThis gives a total box of 42 plain + 63 milk + 18 white = 123 chocolatesAnd recalculate the ratios, simplifying them:Ratio of plain : milk = 42 : 63 = 2×21 : 3×32 = 2 : 3Ratio of milk : white = 63 : 18 = 7×9 : 2×9 = 7 : 2
Two fractions are equivalent if they can be reduced to the same number. For example, 2/3 and 4/6 are equivalent because 4/6 will reduce to 2/3.
Each number can be reduced by two, and no more. So 7:6.
We're guessing that what you really want to know is the value of 'p'that makes the statement true. Here's how to find it:3p + 4 = -14Subtract 4 from each side:3p = -18Divide each side by 3:p = -6
No but the equal ratios are called Equivalent Ratios.
Equivalent
45:24
Each side is equal to 1/2.
5.6 , 6.5
First, factor out each term.Reduce the most common factors if necessary.Example:2 / 4 = ½Then, the equivalent ratios to 2 / 4 can be anything that follow this form k / (2k).
3:1, 6:2, 9:3
No; each ratio has to be the same for a direct variation.
similarity ratios are ratios in which both the ratios are equal to each other
Multiply the antecedent of each ratio by the consequent of the other. If the products are equal, the ratios are equivalent.For example, given the two ratios A:B and C:D, if the product of A and D equals the product of B and C, then A:B::C:D (A is to B as C is to D).Two ratios a:b and c:d are equivalent if the crossproducts are the same.That is a/b = c/d if and only if a*d = b*c.
Yes the ratios are sometimes equal to each other.
The calculator will simplify the ratio A : B if possible. Otherwise the calculator finds an equivalent ratio by multiplying each of A and B by 2 to create values for C and D. Compare Ratios and Solve for the Missing Value: Enter A, B and C to find D.