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To find the number of daisies, we first need to determine the ratio of daisies to the total number of flowers. The ratio of daisies to carnations is 4 to 2, which simplifies to 2 to 1.
Therefore, if the total number of flowers is divided into three equal parts (representing the two parts of daisies and the one part of carnations), one part represents 2 flowers.
To determine the number of flowers in one part, we divide 42 flowers by 3 parts: 42 / 3 = 14 flowers in each part.
Thus, the number of daisies (which is two parts) would be 2 * 14 = <<2*14=28>>28 daisies.
Therefore, Michelle would plant 28 daisies in her garden.